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Finding the Fourth Proportional to 316,867.96, 475,302.30 and 80,210.65

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Solution

The fourth proportional to 316,867.96, 475,302.30 and 80,210.65 is: 120,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,867.96 : 475,302.30 = 80,210.65 : x
  2. Step 2: Convert to fraction form
    316,867.96/475,302.30 = 80,210.65/x
  3. Step 3: Cross multiply
    316,867.96x = 475,302.30 × 80,210.65
  4. Step 4: Simplify right side
    316,867.96x = 38,124,306,429.50
  5. Step 5: Solve for x
    x = 38,124,306,429.50/316,867.96
  6. Step 6: Final answer
    x = 120,316.07

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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.