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Finding the Fourth Proportional to 109,272.64, 150,783.76 and 61,524.76

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Solution

The fourth proportional to 109,272.64, 150,783.76 and 61,524.76 is: 84,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,272.64 : 150,783.76 = 61,524.76 : x
  2. Step 2: Convert to fraction form
    109,272.64/150,783.76 = 61,524.76/x
  3. Step 3: Cross multiply
    109,272.64x = 150,783.76 × 61,524.76
  4. Step 4: Simplify right side
    109,272.64x = 9,276,934,645.90
  5. Step 5: Solve for x
    x = 9,276,934,645.90/109,272.64
  6. Step 6: Final answer
    x = 84,897.14

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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.