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Finding the Fourth Proportional to 97,875.90, 137,337.30 and 97,875.90

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Solution

The fourth proportional to 97,875.90, 137,337.30 and 97,875.90 is: 137,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875.90 : 137,337.30 = 97,875.90 : x
  2. Step 2: Convert to fraction form
    97,875.90/137,337.30 = 97,875.90/x
  3. Step 3: Cross multiply
    97,875.90x = 137,337.30 × 97,875.90
  4. Step 4: Simplify right side
    97,875.90x = 13,442,011,841.07
  5. Step 5: Solve for x
    x = 13,442,011,841.07/97,875.90
  6. Step 6: Final answer
    x = 137,337.30

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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.