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Finding the Fourth Proportional to 148,952, 223,357.61 and 54,116.05

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Solution

The fourth proportional to 148,952, 223,357.61 and 54,116.05 is: 81,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,952 : 223,357.61 = 54,116.05 : x
  2. Step 2: Convert to fraction form
    148,952/223,357.61 = 54,116.05/x
  3. Step 3: Cross multiply
    148,952x = 223,357.61 × 54,116.05
  4. Step 4: Simplify right side
    148,952x = 12,087,231,320.06
  5. Step 5: Solve for x
    x = 12,087,231,320.06/148,952
  6. Step 6: Final answer
    x = 81,148.50

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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.