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Finding the Fourth Proportional to 191,592.47, 264,405.74 and 106,709.54

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Solution

The fourth proportional to 191,592.47, 264,405.74 and 106,709.54 is: 147,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,592.47 : 264,405.74 = 106,709.54 : x
  2. Step 2: Convert to fraction form
    191,592.47/264,405.74 = 106,709.54/x
  3. Step 3: Cross multiply
    191,592.47x = 264,405.74 × 106,709.54
  4. Step 4: Simplify right side
    191,592.47x = 28,214,613,033.18
  5. Step 5: Solve for x
    x = 28,214,613,033.18/191,592.47
  6. Step 6: Final answer
    x = 147,263.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.