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Finding the Fourth Proportional to 97,730.30, 137,098.90 and 97,730.30

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Solution

The fourth proportional to 97,730.30, 137,098.90 and 97,730.30 is: 137,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,730.30 : 137,098.90 = 97,730.30 : x
  2. Step 2: Convert to fraction form
    97,730.30/137,098.90 = 97,730.30/x
  3. Step 3: Cross multiply
    97,730.30x = 137,098.90 × 97,730.30
  4. Step 4: Simplify right side
    97,730.30x = 13,398,716,626.67
  5. Step 5: Solve for x
    x = 13,398,716,626.67/97,730.30
  6. Step 6: Final answer
    x = 137,098.90

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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.