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Finding the Fourth Proportional to 174,700.80, 261,921.60 and 74,779.20

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Solution

The fourth proportional to 174,700.80, 261,921.60 and 74,779.20 is: 112,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,700.80 : 261,921.60 = 74,779.20 : x
  2. Step 2: Convert to fraction form
    174,700.80/261,921.60 = 74,779.20/x
  3. Step 3: Cross multiply
    174,700.80x = 261,921.60 × 74,779.20
  4. Step 4: Simplify right side
    174,700.80x = 19,586,287,710.72
  5. Step 5: Solve for x
    x = 19,586,287,710.72/174,700.80
  6. Step 6: Final answer
    x = 112,113.33

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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.