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Finding the Fourth Proportional to 186,437.20, 279,655.80 and 81,461.20

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Solution

The fourth proportional to 186,437.20, 279,655.80 and 81,461.20 is: 122,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,437.20 : 279,655.80 = 81,461.20 : x
  2. Step 2: Convert to fraction form
    186,437.20/279,655.80 = 81,461.20/x
  3. Step 3: Cross multiply
    186,437.20x = 279,655.80 × 81,461.20
  4. Step 4: Simplify right side
    186,437.20x = 22,781,097,054.96
  5. Step 5: Solve for x
    x = 22,781,097,054.96/186,437.20
  6. Step 6: Final answer
    x = 122,191.80

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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.