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Finding the Fourth Proportional to 225,527.80, 338,256.42 and 99,140.08

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Solution

The fourth proportional to 225,527.80, 338,256.42 and 99,140.08 is: 148,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,527.80 : 338,256.42 = 99,140.08 : x
  2. Step 2: Convert to fraction form
    225,527.80/338,256.42 = 99,140.08/x
  3. Step 3: Cross multiply
    225,527.80x = 338,256.42 × 99,140.08
  4. Step 4: Simplify right side
    225,527.80x = 33,534,768,539.31
  5. Step 5: Solve for x
    x = 33,534,768,539.31/225,527.80
  6. Step 6: Final answer
    x = 148,694.61

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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.