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Finding the Fourth Proportional to 209,963.80, 314,945.70 and 85,394.20

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Solution

The fourth proportional to 209,963.80, 314,945.70 and 85,394.20 is: 128,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.80 : 314,945.70 = 85,394.20 : x
  2. Step 2: Convert to fraction form
    209,963.80/314,945.70 = 85,394.20/x
  3. Step 3: Cross multiply
    209,963.80x = 314,945.70 × 85,394.20
  4. Step 4: Simplify right side
    209,963.80x = 26,894,536,094.94
  5. Step 5: Solve for x
    x = 26,894,536,094.94/209,963.80
  6. Step 6: Final answer
    x = 128,091.30

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1.5x scale

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.