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Finding the Fourth Proportional to 97,301.40, 145,836.90 and 41,141.40

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Solution

The fourth proportional to 97,301.40, 145,836.90 and 41,141.40 is: 61,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,301.40 : 145,836.90 = 41,141.40 : x
  2. Step 2: Convert to fraction form
    97,301.40/145,836.90 = 41,141.40/x
  3. Step 3: Cross multiply
    97,301.40x = 145,836.90 × 41,141.40
  4. Step 4: Simplify right side
    97,301.40x = 5,999,934,237.66
  5. Step 5: Solve for x
    x = 5,999,934,237.66/97,301.40
  6. Step 6: Final answer
    x = 61,663.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.