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Finding the Fourth Proportional to 98,141.88, 147,217.74 and 28,031.52

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Solution

The fourth proportional to 98,141.88, 147,217.74 and 28,031.52 is: 42,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,141.88 : 147,217.74 = 28,031.52 : x
  2. Step 2: Convert to fraction form
    98,141.88/147,217.74 = 28,031.52/x
  3. Step 3: Cross multiply
    98,141.88x = 147,217.74 × 28,031.52
  4. Step 4: Simplify right side
    98,141.88x = 4,126,737,023.16
  5. Step 5: Solve for x
    x = 4,126,737,023.16/98,141.88
  6. Step 6: Final answer
    x = 42,048.69

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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.