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Finding the Fourth Proportional to 165,149.68, 227,907.74 and 89,698.18

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Solution

The fourth proportional to 165,149.68, 227,907.74 and 89,698.18 is: 123,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,149.68 : 227,907.74 = 89,698.18 : x
  2. Step 2: Convert to fraction form
    165,149.68/227,907.74 = 89,698.18/x
  3. Step 3: Cross multiply
    165,149.68x = 227,907.74 × 89,698.18
  4. Step 4: Simplify right side
    165,149.68x = 20,442,909,485.91
  5. Step 5: Solve for x
    x = 20,442,909,485.91/165,149.68
  6. Step 6: Final answer
    x = 123,784.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.