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Finding the Fourth Proportional to 158,097.84, 218,178.24 and 86,482.56

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Solution

The fourth proportional to 158,097.84, 218,178.24 and 86,482.56 is: 119,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,097.84 : 218,178.24 = 86,482.56 : x
  2. Step 2: Convert to fraction form
    158,097.84/218,178.24 = 86,482.56/x
  3. Step 3: Cross multiply
    158,097.84x = 218,178.24 × 86,482.56
  4. Step 4: Simplify right side
    158,097.84x = 18,868,612,731.49
  5. Step 5: Solve for x
    x = 18,868,612,731.49/158,097.84
  6. Step 6: Final answer
    x = 119,347.69

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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.