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Finding the Fourth Proportional to 149,794.40, 224,108.40 and 97,306.40

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Solution

The fourth proportional to 149,794.40, 224,108.40 and 97,306.40 is: 145,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,794.40 : 224,108.40 = 97,306.40 : x
  2. Step 2: Convert to fraction form
    149,794.40/224,108.40 = 97,306.40/x
  3. Step 3: Cross multiply
    149,794.40x = 224,108.40 × 97,306.40
  4. Step 4: Simplify right side
    149,794.40x = 21,807,181,613.76
  5. Step 5: Solve for x
    x = 21,807,181,613.76/149,794.40
  6. Step 6: Final answer
    x = 145,580.75

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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.