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Finding the Fourth Proportional to 231,574.32, 319,471.11 and 136,037.91

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Solution

The fourth proportional to 231,574.32, 319,471.11 and 136,037.91 is: 187,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,574.32 : 319,471.11 = 136,037.91 : x
  2. Step 2: Convert to fraction form
    231,574.32/319,471.11 = 136,037.91/x
  3. Step 3: Cross multiply
    231,574.32x = 319,471.11 × 136,037.91
  4. Step 4: Simplify right side
    231,574.32x = 43,460,182,109.78
  5. Step 5: Solve for x
    x = 43,460,182,109.78/231,574.32
  6. Step 6: Final answer
    x = 187,672.72

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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.