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Finding the Fourth Proportional to 354,314.96, 531,312.42 and 101,537.54

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Solution

The fourth proportional to 354,314.96, 531,312.42 and 101,537.54 is: 152,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314.96 : 531,312.42 = 101,537.54 : x
  2. Step 2: Convert to fraction form
    354,314.96/531,312.42 = 101,537.54/x
  3. Step 3: Cross multiply
    354,314.96x = 531,312.42 × 101,537.54
  4. Step 4: Simplify right side
    354,314.96x = 53,948,156,098.25
  5. Step 5: Solve for x
    x = 53,948,156,098.25/354,314.96
  6. Step 6: Final answer
    x = 152,260.45

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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.