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Finding the Fourth Proportional to 317,140.16, 475,377.24 and 106,705.04

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Solution

The fourth proportional to 317,140.16, 475,377.24 and 106,705.04 is: 159,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,140.16 : 475,377.24 = 106,705.04 : x
  2. Step 2: Convert to fraction form
    317,140.16/475,377.24 = 106,705.04/x
  3. Step 3: Cross multiply
    317,140.16x = 475,377.24 × 106,705.04
  4. Step 4: Simplify right side
    317,140.16x = 50,725,147,409.29
  5. Step 5: Solve for x
    x = 50,725,147,409.29/317,140.16
  6. Step 6: Final answer
    x = 159,945.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.