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Finding the Fourth Proportional to 98,122.10, 147,184.50 and 28,001.40

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Solution

The fourth proportional to 98,122.10, 147,184.50 and 28,001.40 is: 42,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,122.10 : 147,184.50 = 28,001.40 : x
  2. Step 2: Convert to fraction form
    98,122.10/147,184.50 = 28,001.40/x
  3. Step 3: Cross multiply
    98,122.10x = 147,184.50 × 28,001.40
  4. Step 4: Simplify right side
    98,122.10x = 4,121,372,058.30
  5. Step 5: Solve for x
    x = 4,121,372,058.30/98,122.10
  6. Step 6: Final answer
    x = 42,002.49

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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.