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Finding the Fourth Proportional to 233,931.78, 350,897.70 and 91,844.06

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Solution

The fourth proportional to 233,931.78, 350,897.70 and 91,844.06 is: 137,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,931.78 : 350,897.70 = 91,844.06 : x
  2. Step 2: Convert to fraction form
    233,931.78/350,897.70 = 91,844.06/x
  3. Step 3: Cross multiply
    233,931.78x = 350,897.70 × 91,844.06
  4. Step 4: Simplify right side
    233,931.78x = 32,227,867,658.17
  5. Step 5: Solve for x
    x = 32,227,867,658.17/233,931.78
  6. Step 6: Final answer
    x = 137,766.09

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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.