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Finding the Fourth Proportional to 264,070.89, 364,382.82 and 149,365.17

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Solution

The fourth proportional to 264,070.89, 364,382.82 and 149,365.17 is: 206,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,070.89 : 364,382.82 = 149,365.17 : x
  2. Step 2: Convert to fraction form
    264,070.89/364,382.82 = 149,365.17/x
  3. Step 3: Cross multiply
    264,070.89x = 364,382.82 × 149,365.17
  4. Step 4: Simplify right side
    264,070.89x = 54,426,101,854.38
  5. Step 5: Solve for x
    x = 54,426,101,854.38/264,070.89
  6. Step 6: Final answer
    x = 206,104.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.