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Finding the Fourth Proportional to 213,909.57, 295,226.09 and 123,248.16

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Solution

The fourth proportional to 213,909.57, 295,226.09 and 123,248.16 is: 170,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,909.57 : 295,226.09 = 123,248.16 : x
  2. Step 2: Convert to fraction form
    213,909.57/295,226.09 = 123,248.16/x
  3. Step 3: Cross multiply
    213,909.57x = 295,226.09 × 123,248.16
  4. Step 4: Simplify right side
    213,909.57x = 36,386,070,284.12
  5. Step 5: Solve for x
    x = 36,386,070,284.12/213,909.57
  6. Step 6: Final answer
    x = 170,100.25

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