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Finding the Fourth Proportional to 235,407.67, 353,061.69 and 77,598.61

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Solution

The fourth proportional to 235,407.67, 353,061.69 and 77,598.61 is: 116,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,407.67 : 353,061.69 = 77,598.61 : x
  2. Step 2: Convert to fraction form
    235,407.67/353,061.69 = 77,598.61/x
  3. Step 3: Cross multiply
    235,407.67x = 353,061.69 × 77,598.61
  4. Step 4: Simplify right side
    235,407.67x = 27,397,096,388.25
  5. Step 5: Solve for x
    x = 27,397,096,388.25/235,407.67
  6. Step 6: Final answer
    x = 116,381.49

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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.