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Finding the Fourth Proportional to 98,402.40, 147,587.76 and 28,265.76

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Solution

The fourth proportional to 98,402.40, 147,587.76 and 28,265.76 is: 42,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,402.40 : 147,587.76 = 28,265.76 : x
  2. Step 2: Convert to fraction form
    98,402.40/147,587.76 = 28,265.76/x
  3. Step 3: Cross multiply
    98,402.40x = 147,587.76 × 28,265.76
  4. Step 4: Simplify right side
    98,402.40x = 4,171,680,203.10
  5. Step 5: Solve for x
    x = 4,171,680,203.10/98,402.40
  6. Step 6: Final answer
    x = 42,394.09

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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.