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Finding the Fourth Proportional to 277,491.80, 416,069.12 and 108,810.02

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Solution

The fourth proportional to 277,491.80, 416,069.12 and 108,810.02 is: 163,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,491.80 : 416,069.12 = 108,810.02 : x
  2. Step 2: Convert to fraction form
    277,491.80/416,069.12 = 108,810.02/x
  3. Step 3: Cross multiply
    277,491.80x = 416,069.12 × 108,810.02
  4. Step 4: Simplify right side
    277,491.80x = 45,272,486,644.19
  5. Step 5: Solve for x
    x = 45,272,486,644.19/277,491.80
  6. Step 6: Final answer
    x = 163,148.92

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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.