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Finding the Fourth Proportional to 229,087, 316,278.30 and 149,737.24

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Solution

The fourth proportional to 229,087, 316,278.30 and 149,737.24 is: 206,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,087 : 316,278.30 = 149,737.24 : x
  2. Step 2: Convert to fraction form
    229,087/316,278.30 = 149,737.24/x
  3. Step 3: Cross multiply
    229,087x = 316,278.30 × 149,737.24
  4. Step 4: Simplify right side
    229,087x = 47,358,639,713.89
  5. Step 5: Solve for x
    x = 47,358,639,713.89/229,087
  6. Step 6: Final answer
    x = 206,727.75

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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.