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Finding the Fourth Proportional to 233,641, 350,711.02 and 100,587.24

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Solution

The fourth proportional to 233,641, 350,711.02 and 100,587.24 is: 150,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,641 : 350,711.02 = 100,587.24 : x
  2. Step 2: Convert to fraction form
    233,641/350,711.02 = 100,587.24/x
  3. Step 3: Cross multiply
    233,641x = 350,711.02 × 100,587.24
  4. Step 4: Simplify right side
    233,641x = 35,277,053,539.38
  5. Step 5: Solve for x
    x = 35,277,053,539.38/233,641
  6. Step 6: Final answer
    x = 150,988.28

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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.