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Finding the Fourth Proportional to 157,310.10, 235,965.15 and 152,936.10

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Solution

The fourth proportional to 157,310.10, 235,965.15 and 152,936.10 is: 229,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,310.10 : 235,965.15 = 152,936.10 : x
  2. Step 2: Convert to fraction form
    157,310.10/235,965.15 = 152,936.10/x
  3. Step 3: Cross multiply
    157,310.10x = 235,965.15 × 152,936.10
  4. Step 4: Simplify right side
    157,310.10x = 36,087,589,776.92
  5. Step 5: Solve for x
    x = 36,087,589,776.92/157,310.10
  6. Step 6: Final answer
    x = 229,404.15

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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.