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Finding the Fourth Proportional to 158,800.50, 219,164.13 and 91,732.50

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Solution

The fourth proportional to 158,800.50, 219,164.13 and 91,732.50 is: 126,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,800.50 : 219,164.13 = 91,732.50 : x
  2. Step 2: Convert to fraction form
    158,800.50/219,164.13 = 91,732.50/x
  3. Step 3: Cross multiply
    158,800.50x = 219,164.13 × 91,732.50
  4. Step 4: Simplify right side
    158,800.50x = 20,104,473,555.23
  5. Step 5: Solve for x
    x = 20,104,473,555.23/158,800.50
  6. Step 6: Final answer
    x = 126,602.08

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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.