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Finding the Fourth Proportional to 283,964, 391,840.04 and 156,639.58

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Solution

The fourth proportional to 283,964, 391,840.04 and 156,639.58 is: 216,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,964 : 391,840.04 = 156,639.58 : x
  2. Step 2: Convert to fraction form
    283,964/391,840.04 = 156,639.58/x
  3. Step 3: Cross multiply
    283,964x = 391,840.04 × 156,639.58
  4. Step 4: Simplify right side
    283,964x = 61,377,659,292.78
  5. Step 5: Solve for x
    x = 61,377,659,292.78/283,964
  6. Step 6: Final answer
    x = 216,145.92

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