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Finding the Fourth Proportional to 97,500.40, 146,031.90 and 80,004.40

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Solution

The fourth proportional to 97,500.40, 146,031.90 and 80,004.40 is: 119,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,500.40 : 146,031.90 = 80,004.40 : x
  2. Step 2: Convert to fraction form
    97,500.40/146,031.90 = 80,004.40/x
  3. Step 3: Cross multiply
    97,500.40x = 146,031.90 × 80,004.40
  4. Step 4: Simplify right side
    97,500.40x = 11,683,194,540.36
  5. Step 5: Solve for x
    x = 11,683,194,540.36/97,500.40
  6. Step 6: Final answer
    x = 119,827.14

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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.