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Finding the Fourth Proportional to 147,043.50, 220,565.25 and 36,235.50

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Solution

The fourth proportional to 147,043.50, 220,565.25 and 36,235.50 is: 54,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,043.50 : 220,565.25 = 36,235.50 : x
  2. Step 2: Convert to fraction form
    147,043.50/220,565.25 = 36,235.50/x
  3. Step 3: Cross multiply
    147,043.50x = 220,565.25 × 36,235.50
  4. Step 4: Simplify right side
    147,043.50x = 7,992,292,116.38
  5. Step 5: Solve for x
    x = 7,992,292,116.38/147,043.50
  6. Step 6: Final answer
    x = 54,353.25

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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.