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Finding the Fourth Proportional to 351,506, 527,348.92 and 102,188

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Solution

The fourth proportional to 351,506, 527,348.92 and 102,188 is: 153,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,506 : 527,348.92 = 102,188 : x
  2. Step 2: Convert to fraction form
    351,506/527,348.92 = 102,188/x
  3. Step 3: Cross multiply
    351,506x = 527,348.92 × 102,188
  4. Step 4: Simplify right side
    351,506x = 53,888,731,436.96
  5. Step 5: Solve for x
    x = 53,888,731,436.96/351,506
  6. Step 6: Final answer
    x = 153,308.14

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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.