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Finding the Fourth Proportional to 356,909.32, 535,504.14 and 157,089.61

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Solution

The fourth proportional to 356,909.32, 535,504.14 and 157,089.61 is: 235,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,909.32 : 535,504.14 = 157,089.61 : x
  2. Step 2: Convert to fraction form
    356,909.32/535,504.14 = 157,089.61/x
  3. Step 3: Cross multiply
    356,909.32x = 535,504.14 × 157,089.61
  4. Step 4: Simplify right side
    356,909.32x = 84,122,136,505.99
  5. Step 5: Solve for x
    x = 84,122,136,505.99/356,909.32
  6. Step 6: Final answer
    x = 235,696.10

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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.