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Finding the Fourth Proportional to 97,297.20, 145,945.80 and 77,614.20

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Solution

The fourth proportional to 97,297.20, 145,945.80 and 77,614.20 is: 116,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,297.20 : 145,945.80 = 77,614.20 : x
  2. Step 2: Convert to fraction form
    97,297.20/145,945.80 = 77,614.20/x
  3. Step 3: Cross multiply
    97,297.20x = 145,945.80 × 77,614.20
  4. Step 4: Simplify right side
    97,297.20x = 11,327,466,510.36
  5. Step 5: Solve for x
    x = 11,327,466,510.36/97,297.20
  6. Step 6: Final answer
    x = 116,421.30

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1.5x scale

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.