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Finding the Fourth Proportional to 150,728.64, 207,962.91 and 97,044.77

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Solution

The fourth proportional to 150,728.64, 207,962.91 and 97,044.77 is: 133,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,728.64 : 207,962.91 = 97,044.77 : x
  2. Step 2: Convert to fraction form
    150,728.64/207,962.91 = 97,044.77/x
  3. Step 3: Cross multiply
    150,728.64x = 207,962.91 × 97,044.77
  4. Step 4: Simplify right side
    150,728.64x = 20,181,711,729.67
  5. Step 5: Solve for x
    x = 20,181,711,729.67/150,728.64
  6. Step 6: Final answer
    x = 133,894.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.