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Finding the Fourth Proportional to 97,294.79, 145,942.19 and 75,140.48

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Solution

The fourth proportional to 97,294.79, 145,942.19 and 75,140.48 is: 112,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294.79 : 145,942.19 = 75,140.48 : x
  2. Step 2: Convert to fraction form
    97,294.79/145,942.19 = 75,140.48/x
  3. Step 3: Cross multiply
    97,294.79x = 145,942.19 × 75,140.48
  4. Step 4: Simplify right side
    97,294.79x = 10,966,166,208.85
  5. Step 5: Solve for x
    x = 10,966,166,208.85/97,294.79
  6. Step 6: Final answer
    x = 112,710.72

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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.