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Finding the Fourth Proportional to 191,416.80, 264,152.54 and 106,533.90

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Solution

The fourth proportional to 191,416.80, 264,152.54 and 106,533.90 is: 147,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,416.80 : 264,152.54 = 106,533.90 : x
  2. Step 2: Convert to fraction form
    191,416.80/264,152.54 = 106,533.90/x
  3. Step 3: Cross multiply
    191,416.80x = 264,152.54 × 106,533.90
  4. Step 4: Simplify right side
    191,416.80x = 28,141,200,281.11
  5. Step 5: Solve for x
    x = 28,141,200,281.11/191,416.80
  6. Step 6: Final answer
    x = 147,015.31

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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.