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Finding the Fourth Proportional to 97,842.10, 137,071.10 and 97,842.10

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Solution

The fourth proportional to 97,842.10, 137,071.10 and 97,842.10 is: 137,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842.10 : 137,071.10 = 97,842.10 : x
  2. Step 2: Convert to fraction form
    97,842.10/137,071.10 = 97,842.10/x
  3. Step 3: Cross multiply
    97,842.10x = 137,071.10 × 97,842.10
  4. Step 4: Simplify right side
    97,842.10x = 13,411,324,273.31
  5. Step 5: Solve for x
    x = 13,411,324,273.31/97,842.10
  6. Step 6: Final answer
    x = 137,071.10

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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.