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Finding the Fourth Proportional to 231,314.88, 319,091.40 and 140,698.56

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Solution

The fourth proportional to 231,314.88, 319,091.40 and 140,698.56 is: 194,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,314.88 : 319,091.40 = 140,698.56 : x
  2. Step 2: Convert to fraction form
    231,314.88/319,091.40 = 140,698.56/x
  3. Step 3: Cross multiply
    231,314.88x = 319,091.40 × 140,698.56
  4. Step 4: Simplify right side
    231,314.88x = 44,895,700,488.38
  5. Step 5: Solve for x
    x = 44,895,700,488.38/231,314.88
  6. Step 6: Final answer
    x = 194,089.12

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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.