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Finding the Fourth Proportional to 310,892.90, 465,894.38 and 133,352.42

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Solution

The fourth proportional to 310,892.90, 465,894.38 and 133,352.42 is: 199,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,892.90 : 465,894.38 = 133,352.42 : x
  2. Step 2: Convert to fraction form
    310,892.90/465,894.38 = 133,352.42/x
  3. Step 3: Cross multiply
    310,892.90x = 465,894.38 × 133,352.42
  4. Step 4: Simplify right side
    310,892.90x = 62,128,141,041.31
  5. Step 5: Solve for x
    x = 62,128,141,041.31/310,892.90
  6. Step 6: Final answer
    x = 199,837.76

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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.