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Finding the Fourth Proportional to 205,713.58, 308,459.41 and 93,332.47

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Solution

The fourth proportional to 205,713.58, 308,459.41 and 93,332.47 is: 139,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,713.58 : 308,459.41 = 93,332.47 : x
  2. Step 2: Convert to fraction form
    205,713.58/308,459.41 = 93,332.47/x
  3. Step 3: Cross multiply
    205,713.58x = 308,459.41 × 93,332.47
  4. Step 4: Simplify right side
    205,713.58x = 28,789,278,630.04
  5. Step 5: Solve for x
    x = 28,789,278,630.04/205,713.58
  6. Step 6: Final answer
    x = 139,948.36

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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.