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Finding the Fourth Proportional to 158,544.83, 237,549.79 and 78,476.03

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Solution

The fourth proportional to 158,544.83, 237,549.79 and 78,476.03 is: 117,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,544.83 : 237,549.79 = 78,476.03 : x
  2. Step 2: Convert to fraction form
    158,544.83/237,549.79 = 78,476.03/x
  3. Step 3: Cross multiply
    158,544.83x = 237,549.79 × 78,476.03
  4. Step 4: Simplify right side
    158,544.83x = 18,641,964,446.53
  5. Step 5: Solve for x
    x = 18,641,964,446.53/158,544.83
  6. Step 6: Final answer
    x = 117,581.66

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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.