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Finding the Fourth Proportional to 121,877.70, 182,816.55 and 109,047.30

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Solution

The fourth proportional to 121,877.70, 182,816.55 and 109,047.30 is: 163,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,877.70 : 182,816.55 = 109,047.30 : x
  2. Step 2: Convert to fraction form
    121,877.70/182,816.55 = 109,047.30/x
  3. Step 3: Cross multiply
    121,877.70x = 182,816.55 × 109,047.30
  4. Step 4: Simplify right side
    121,877.70x = 19,935,651,172.82
  5. Step 5: Solve for x
    x = 19,935,651,172.82/121,877.70
  6. Step 6: Final answer
    x = 163,570.95

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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.