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Finding the Fourth Proportional to 233,653.47, 350,488.10 and 65,177.92

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Solution

The fourth proportional to 233,653.47, 350,488.10 and 65,177.92 is: 97,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,653.47 : 350,488.10 = 65,177.92 : x
  2. Step 2: Convert to fraction form
    233,653.47/350,488.10 = 65,177.92/x
  3. Step 3: Cross multiply
    233,653.47x = 350,488.10 × 65,177.92
  4. Step 4: Simplify right side
    233,653.47x = 22,844,085,342.75
  5. Step 5: Solve for x
    x = 22,844,085,342.75/233,653.47
  6. Step 6: Final answer
    x = 97,769.08

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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.