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Finding the Fourth Proportional to 233,146.92, 350,070.30 and 133,419.72

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Solution

The fourth proportional to 233,146.92, 350,070.30 and 133,419.72 is: 200,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,146.92 : 350,070.30 = 133,419.72 : x
  2. Step 2: Convert to fraction form
    233,146.92/350,070.30 = 133,419.72/x
  3. Step 3: Cross multiply
    233,146.92x = 350,070.30 × 133,419.72
  4. Step 4: Simplify right side
    233,146.92x = 46,706,281,406.32
  5. Step 5: Solve for x
    x = 46,706,281,406.32/233,146.92
  6. Step 6: Final answer
    x = 200,329.82

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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.