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Finding the Fourth Proportional to 97,294.29, 145,941.44 and 75,139.98

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Solution

The fourth proportional to 97,294.29, 145,941.44 and 75,139.98 is: 112,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294.29 : 145,941.44 = 75,139.98 : x
  2. Step 2: Convert to fraction form
    97,294.29/145,941.44 = 75,139.98/x
  3. Step 3: Cross multiply
    97,294.29x = 145,941.44 × 75,139.98
  4. Step 4: Simplify right side
    97,294.29x = 10,966,036,507.07
  5. Step 5: Solve for x
    x = 10,966,036,507.07/97,294.29
  6. Step 6: Final answer
    x = 112,709.97

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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.