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Finding the Fourth Proportional to 209,871.60, 314,845.80 and 85,225.20

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Solution

The fourth proportional to 209,871.60, 314,845.80 and 85,225.20 is: 127,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871.60 : 314,845.80 = 85,225.20 : x
  2. Step 2: Convert to fraction form
    209,871.60/314,845.80 = 85,225.20/x
  3. Step 3: Cross multiply
    209,871.60x = 314,845.80 × 85,225.20
  4. Step 4: Simplify right side
    209,871.60x = 26,832,796,274.16
  5. Step 5: Solve for x
    x = 26,832,796,274.16/209,871.60
  6. Step 6: Final answer
    x = 127,853.39

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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.