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Finding the Fourth Proportional to 102,567.94, 141,540.01 and 64,348.04

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Solution

The fourth proportional to 102,567.94, 141,540.01 and 64,348.04 is: 88,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567.94 : 141,540.01 = 64,348.04 : x
  2. Step 2: Convert to fraction form
    102,567.94/141,540.01 = 64,348.04/x
  3. Step 3: Cross multiply
    102,567.94x = 141,540.01 × 64,348.04
  4. Step 4: Simplify right side
    102,567.94x = 9,107,822,418.06
  5. Step 5: Solve for x
    x = 9,107,822,418.06/102,567.94
  6. Step 6: Final answer
    x = 88,797.95

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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.