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Finding the Fourth Proportional to 158,222, 218,346.36 and 87,566

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Solution

The fourth proportional to 158,222, 218,346.36 and 87,566 is: 120,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,222 : 218,346.36 = 87,566 : x
  2. Step 2: Convert to fraction form
    158,222/218,346.36 = 87,566/x
  3. Step 3: Cross multiply
    158,222x = 218,346.36 × 87,566
  4. Step 4: Simplify right side
    158,222x = 19,119,717,359.76
  5. Step 5: Solve for x
    x = 19,119,717,359.76/158,222
  6. Step 6: Final answer
    x = 120,841.08

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