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Finding the Fourth Proportional to 165,056.80, 247,570.80 and 54,248.80

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Solution

The fourth proportional to 165,056.80, 247,570.80 and 54,248.80 is: 81,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,056.80 : 247,570.80 = 54,248.80 : x
  2. Step 2: Convert to fraction form
    165,056.80/247,570.80 = 54,248.80/x
  3. Step 3: Cross multiply
    165,056.80x = 247,570.80 × 54,248.80
  4. Step 4: Simplify right side
    165,056.80x = 13,430,418,815.04
  5. Step 5: Solve for x
    x = 13,430,418,815.04/165,056.80
  6. Step 6: Final answer
    x = 81,368.47

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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.