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Finding the Fourth Proportional to 233,062.08, 321,624.56 and 132,460

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Solution

The fourth proportional to 233,062.08, 321,624.56 and 132,460 is: 182,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,062.08 : 321,624.56 = 132,460 : x
  2. Step 2: Convert to fraction form
    233,062.08/321,624.56 = 132,460/x
  3. Step 3: Cross multiply
    233,062.08x = 321,624.56 × 132,460
  4. Step 4: Simplify right side
    233,062.08x = 42,602,389,217.60
  5. Step 5: Solve for x
    x = 42,602,389,217.60/233,062.08
  6. Step 6: Final answer
    x = 182,794.17

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Why These Related Problems?

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