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Finding the Fourth Proportional to 97,862.20, 137,191.40 and 97,862.20

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Solution

The fourth proportional to 97,862.20, 137,191.40 and 97,862.20 is: 137,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,862.20 : 137,191.40 = 97,862.20 : x
  2. Step 2: Convert to fraction form
    97,862.20/137,191.40 = 97,862.20/x
  3. Step 3: Cross multiply
    97,862.20x = 137,191.40 × 97,862.20
  4. Step 4: Simplify right side
    97,862.20x = 13,425,852,225.08
  5. Step 5: Solve for x
    x = 13,425,852,225.08/97,862.20
  6. Step 6: Final answer
    x = 137,191.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.