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Finding the Fourth Proportional to 191,840.64, 264,743.40 and 106,948.32

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Solution

The fourth proportional to 191,840.64, 264,743.40 and 106,948.32 is: 147,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,840.64 : 264,743.40 = 106,948.32 : x
  2. Step 2: Convert to fraction form
    191,840.64/264,743.40 = 106,948.32/x
  3. Step 3: Cross multiply
    191,840.64x = 264,743.40 × 106,948.32
  4. Step 4: Simplify right side
    191,840.64x = 28,313,861,861.09
  5. Step 5: Solve for x
    x = 28,313,861,861.09/191,840.64
  6. Step 6: Final answer
    x = 147,590.53

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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.