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Finding the Fourth Proportional to 286,521.52, 429,868.14 and 115,655.26

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Solution

The fourth proportional to 286,521.52, 429,868.14 and 115,655.26 is: 173,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,521.52 : 429,868.14 = 115,655.26 : x
  2. Step 2: Convert to fraction form
    286,521.52/429,868.14 = 115,655.26/x
  3. Step 3: Cross multiply
    286,521.52x = 429,868.14 × 115,655.26
  4. Step 4: Simplify right side
    286,521.52x = 49,716,511,497.42
  5. Step 5: Solve for x
    x = 49,716,511,497.42/286,521.52
  6. Step 6: Final answer
    x = 173,517.55

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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.