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Finding the Fourth Proportional to 148,894.71, 223,347.31 and 47,695.84

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Solution

The fourth proportional to 148,894.71, 223,347.31 and 47,695.84 is: 71,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,894.71 : 223,347.31 = 47,695.84 : x
  2. Step 2: Convert to fraction form
    148,894.71/223,347.31 = 47,695.84/x
  3. Step 3: Cross multiply
    148,894.71x = 223,347.31 × 47,695.84
  4. Step 4: Simplify right side
    148,894.71x = 10,652,736,884.58
  5. Step 5: Solve for x
    x = 10,652,736,884.58/148,894.71
  6. Step 6: Final answer
    x = 71,545.44

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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.