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Finding the Fourth Proportional to 138,251.84, 190,785.36 and 77,822.32

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Solution

The fourth proportional to 138,251.84, 190,785.36 and 77,822.32 is: 107,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,251.84 : 190,785.36 = 77,822.32 : x
  2. Step 2: Convert to fraction form
    138,251.84/190,785.36 = 77,822.32/x
  3. Step 3: Cross multiply
    138,251.84x = 190,785.36 × 77,822.32
  4. Step 4: Simplify right side
    138,251.84x = 14,847,359,337.24
  5. Step 5: Solve for x
    x = 14,847,359,337.24/138,251.84
  6. Step 6: Final answer
    x = 107,393.57

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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.