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Finding the Fourth Proportional to 205,442, 283,533 and 116,023.76

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Solution

The fourth proportional to 205,442, 283,533 and 116,023.76 is: 160,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,442 : 283,533 = 116,023.76 : x
  2. Step 2: Convert to fraction form
    205,442/283,533 = 116,023.76/x
  3. Step 3: Cross multiply
    205,442x = 283,533 × 116,023.76
  4. Step 4: Simplify right side
    205,442x = 32,896,564,744.08
  5. Step 5: Solve for x
    x = 32,896,564,744.08/205,442
  6. Step 6: Final answer
    x = 160,125.80

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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.