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Finding the Fourth Proportional to 233,126.60, 349,862.70 and 154,214.60

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Solution

The fourth proportional to 233,126.60, 349,862.70 and 154,214.60 is: 231,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,126.60 : 349,862.70 = 154,214.60 : x
  2. Step 2: Convert to fraction form
    233,126.60/349,862.70 = 154,214.60/x
  3. Step 3: Cross multiply
    233,126.60x = 349,862.70 × 154,214.60
  4. Step 4: Simplify right side
    233,126.60x = 53,953,936,335.42
  5. Step 5: Solve for x
    x = 53,953,936,335.42/233,126.60
  6. Step 6: Final answer
    x = 231,436.21

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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.