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Finding the Fourth Proportional to 147,102.40, 220,655.76 and 36,294.40

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Solution

The fourth proportional to 147,102.40, 220,655.76 and 36,294.40 is: 54,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,102.40 : 220,655.76 = 36,294.40 : x
  2. Step 2: Convert to fraction form
    147,102.40/220,655.76 = 36,294.40/x
  3. Step 3: Cross multiply
    147,102.40x = 220,655.76 × 36,294.40
  4. Step 4: Simplify right side
    147,102.40x = 8,008,568,415.74
  5. Step 5: Solve for x
    x = 8,008,568,415.74/147,102.40
  6. Step 6: Final answer
    x = 54,442.13

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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.