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Finding the Fourth Proportional to 312,816.80, 469,226.16 and 76,159.52

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Solution

The fourth proportional to 312,816.80, 469,226.16 and 76,159.52 is: 114,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,816.80 : 469,226.16 = 76,159.52 : x
  2. Step 2: Convert to fraction form
    312,816.80/469,226.16 = 76,159.52/x
  3. Step 3: Cross multiply
    312,816.80x = 469,226.16 × 76,159.52
  4. Step 4: Simplify right side
    312,816.80x = 35,736,039,117.04
  5. Step 5: Solve for x
    x = 35,736,039,117.04/312,816.80
  6. Step 6: Final answer
    x = 114,239.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.