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Finding the Fourth Proportional to 312,114.65, 430,581.51 and 182,987.79

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Solution

The fourth proportional to 312,114.65, 430,581.51 and 182,987.79 is: 252,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,114.65 : 430,581.51 = 182,987.79 : x
  2. Step 2: Convert to fraction form
    312,114.65/430,581.51 = 182,987.79/x
  3. Step 3: Cross multiply
    312,114.65x = 430,581.51 × 182,987.79
  4. Step 4: Simplify right side
    312,114.65x = 78,791,158,929.76
  5. Step 5: Solve for x
    x = 78,791,158,929.76/312,114.65
  6. Step 6: Final answer
    x = 252,443.01

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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.