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Finding the Fourth Proportional to 102,248.75, 141,066.75 and 59,204.75

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Solution

The fourth proportional to 102,248.75, 141,066.75 and 59,204.75 is: 81,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248.75 : 141,066.75 = 59,204.75 : x
  2. Step 2: Convert to fraction form
    102,248.75/141,066.75 = 59,204.75/x
  3. Step 3: Cross multiply
    102,248.75x = 141,066.75 × 59,204.75
  4. Step 4: Simplify right side
    102,248.75x = 8,351,820,739.71
  5. Step 5: Solve for x
    x = 8,351,820,739.71/102,248.75
  6. Step 6: Final answer
    x = 81,681.39

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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.