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Finding the Fourth Proportional to 235,484.16, 353,191.68 and 77,717.76

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Solution

The fourth proportional to 235,484.16, 353,191.68 and 77,717.76 is: 116,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,484.16 : 353,191.68 = 77,717.76 : x
  2. Step 2: Convert to fraction form
    235,484.16/353,191.68 = 77,717.76/x
  3. Step 3: Cross multiply
    235,484.16x = 353,191.68 × 77,717.76
  4. Step 4: Simplify right side
    235,484.16x = 27,449,266,220.24
  5. Step 5: Solve for x
    x = 27,449,266,220.24/235,484.16
  6. Step 6: Final answer
    x = 116,565.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.