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Finding the Fourth Proportional to 283,701.83, 391,510.41 and 156,377.54

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Solution

The fourth proportional to 283,701.83, 391,510.41 and 156,377.54 is: 215,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,701.83 : 391,510.41 = 156,377.54 : x
  2. Step 2: Convert to fraction form
    283,701.83/391,510.41 = 156,377.54/x
  3. Step 3: Cross multiply
    283,701.83x = 391,510.41 × 156,377.54
  4. Step 4: Simplify right side
    283,701.83x = 61,223,434,800.19
  5. Step 5: Solve for x
    x = 61,223,434,800.19/283,701.83
  6. Step 6: Final answer
    x = 215,802.04

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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.