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Finding the Fourth Proportional to 218,012.61, 326,731.88 and 116,798.94

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Solution

The fourth proportional to 218,012.61, 326,731.88 and 116,798.94 is: 175,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,012.61 : 326,731.88 = 116,798.94 : x
  2. Step 2: Convert to fraction form
    218,012.61/326,731.88 = 116,798.94/x
  3. Step 3: Cross multiply
    218,012.61x = 326,731.88 × 116,798.94
  4. Step 4: Simplify right side
    218,012.61x = 38,161,935,964.28
  5. Step 5: Solve for x
    x = 38,161,935,964.28/218,012.61
  6. Step 6: Final answer
    x = 175,044.62

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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.