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Finding the Fourth Proportional to 97,752.30, 137,129.70 and 97,752.30

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Solution

The fourth proportional to 97,752.30, 137,129.70 and 97,752.30 is: 137,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,752.30 : 137,129.70 = 97,752.30 : x
  2. Step 2: Convert to fraction form
    97,752.30/137,129.70 = 97,752.30/x
  3. Step 3: Cross multiply
    97,752.30x = 137,129.70 × 97,752.30
  4. Step 4: Simplify right side
    97,752.30x = 13,404,743,573.31
  5. Step 5: Solve for x
    x = 13,404,743,573.31/97,752.30
  6. Step 6: Final answer
    x = 137,129.70

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