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Finding the Fourth Proportional to 316,820.01, 475,231 and 80,162.65

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Solution

The fourth proportional to 316,820.01, 475,231 and 80,162.65 is: 120,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,820.01 : 475,231 = 80,162.65 : x
  2. Step 2: Convert to fraction form
    316,820.01/475,231 = 80,162.65/x
  3. Step 3: Cross multiply
    316,820.01x = 475,231 × 80,162.65
  4. Step 4: Simplify right side
    316,820.01x = 38,095,776,322.15
  5. Step 5: Solve for x
    x = 38,095,776,322.15/316,820.01
  6. Step 6: Final answer
    x = 120,244.22

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Why These Related Problems?

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