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Finding the Fourth Proportional to 97,409.40, 146,114.10 and 60,545.40

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Solution

The fourth proportional to 97,409.40, 146,114.10 and 60,545.40 is: 90,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409.40 : 146,114.10 = 60,545.40 : x
  2. Step 2: Convert to fraction form
    97,409.40/146,114.10 = 60,545.40/x
  3. Step 3: Cross multiply
    97,409.40x = 146,114.10 × 60,545.40
  4. Step 4: Simplify right side
    97,409.40x = 8,846,536,630.14
  5. Step 5: Solve for x
    x = 8,846,536,630.14/97,409.40
  6. Step 6: Final answer
    x = 90,818.10

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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.