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Finding the Fourth Proportional to 157,874.50, 234,781.64 and 152,890.84

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Solution

The fourth proportional to 157,874.50, 234,781.64 and 152,890.84 is: 227,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,874.50 : 234,781.64 = 152,890.84 : x
  2. Step 2: Convert to fraction form
    157,874.50/234,781.64 = 152,890.84/x
  3. Step 3: Cross multiply
    157,874.50x = 234,781.64 × 152,890.84
  4. Step 4: Simplify right side
    157,874.50x = 35,895,962,156.18
  5. Step 5: Solve for x
    x = 35,895,962,156.18/157,874.50
  6. Step 6: Final answer
    x = 227,370.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.