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Finding the Fourth Proportional to 97,302.87, 146,011.95 and 41,139.90

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Solution

The fourth proportional to 97,302.87, 146,011.95 and 41,139.90 is: 61,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,302.87 : 146,011.95 = 41,139.90 : x
  2. Step 2: Convert to fraction form
    97,302.87/146,011.95 = 41,139.90/x
  3. Step 3: Cross multiply
    97,302.87x = 146,011.95 × 41,139.90
  4. Step 4: Simplify right side
    97,302.87x = 6,006,917,021.81
  5. Step 5: Solve for x
    x = 6,006,917,021.81/97,302.87
  6. Step 6: Final answer
    x = 61,734.22

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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.