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Finding the Fourth Proportional to 356,649.84, 534,781.52 and 156,736.16

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Solution

The fourth proportional to 356,649.84, 534,781.52 and 156,736.16 is: 235,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,649.84 : 534,781.52 = 156,736.16 : x
  2. Step 2: Convert to fraction form
    356,649.84/534,781.52 = 156,736.16/x
  3. Step 3: Cross multiply
    356,649.84x = 534,781.52 × 156,736.16
  4. Step 4: Simplify right side
    356,649.84x = 83,819,601,883.76
  5. Step 5: Solve for x
    x = 83,819,601,883.76/356,649.84
  6. Step 6: Final answer
    x = 235,019.32

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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.