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Finding the Fourth Proportional to 141,257, 194,934.66 and 77,595.86

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Solution

The fourth proportional to 141,257, 194,934.66 and 77,595.86 is: 107,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,257 : 194,934.66 = 77,595.86 : x
  2. Step 2: Convert to fraction form
    141,257/194,934.66 = 77,595.86/x
  3. Step 3: Cross multiply
    141,257x = 194,934.66 × 77,595.86
  4. Step 4: Simplify right side
    141,257x = 15,126,122,586.51
  5. Step 5: Solve for x
    x = 15,126,122,586.51/141,257
  6. Step 6: Final answer
    x = 107,082.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.