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Finding the Fourth Proportional to 209,864.70, 314,873.85 and 85,218.30

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Solution

The fourth proportional to 209,864.70, 314,873.85 and 85,218.30 is: 127,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,864.70 : 314,873.85 = 85,218.30 : x
  2. Step 2: Convert to fraction form
    209,864.70/314,873.85 = 85,218.30/x
  3. Step 3: Cross multiply
    209,864.70x = 314,873.85 × 85,218.30
  4. Step 4: Simplify right side
    209,864.70x = 26,833,014,211.46
  5. Step 5: Solve for x
    x = 26,833,014,211.46/209,864.70
  6. Step 6: Final answer
    x = 127,858.64

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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.