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Finding the Fourth Proportional to 291,781.58, 437,497.20 and 114,076.89

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Solution

The fourth proportional to 291,781.58, 437,497.20 and 114,076.89 is: 171,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,781.58 : 437,497.20 = 114,076.89 : x
  2. Step 2: Convert to fraction form
    291,781.58/437,497.20 = 114,076.89/x
  3. Step 3: Cross multiply
    291,781.58x = 437,497.20 × 114,076.89
  4. Step 4: Simplify right side
    291,781.58x = 49,908,319,959.71
  5. Step 5: Solve for x
    x = 49,908,319,959.71/291,781.58
  6. Step 6: Final answer
    x = 171,046.85

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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.