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Finding the Fourth Proportional to 174,643.20, 261,964.80 and 148,399.20

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Solution

The fourth proportional to 174,643.20, 261,964.80 and 148,399.20 is: 222,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,643.20 : 261,964.80 = 148,399.20 : x
  2. Step 2: Convert to fraction form
    174,643.20/261,964.80 = 148,399.20/x
  3. Step 3: Cross multiply
    174,643.20x = 261,964.80 × 148,399.20
  4. Step 4: Simplify right side
    174,643.20x = 38,875,366,748.16
  5. Step 5: Solve for x
    x = 38,875,366,748.16/174,643.20
  6. Step 6: Final answer
    x = 222,598.80

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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.