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Finding the Fourth Proportional to 204,482.40, 282,178.80 and 115,041.12

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Solution

The fourth proportional to 204,482.40, 282,178.80 and 115,041.12 is: 158,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,482.40 : 282,178.80 = 115,041.12 : x
  2. Step 2: Convert to fraction form
    204,482.40/282,178.80 = 115,041.12/x
  3. Step 3: Cross multiply
    204,482.40x = 282,178.80 × 115,041.12
  4. Step 4: Simplify right side
    204,482.40x = 32,462,165,192.26
  5. Step 5: Solve for x
    x = 32,462,165,192.26/204,482.40
  6. Step 6: Final answer
    x = 158,752.86

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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.