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Finding the Fourth Proportional to 283,732, 391,552.86 and 156,412.16

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Solution

The fourth proportional to 283,732, 391,552.86 and 156,412.16 is: 215,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,732 : 391,552.86 = 156,412.16 : x
  2. Step 2: Convert to fraction form
    283,732/391,552.86 = 156,412.16/x
  3. Step 3: Cross multiply
    283,732x = 391,552.86 × 156,412.16
  4. Step 4: Simplify right side
    283,732x = 61,243,628,586.78
  5. Step 5: Solve for x
    x = 61,243,628,586.78/283,732
  6. Step 6: Final answer
    x = 215,850.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.