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Finding the Fourth Proportional to 209,377.59, 288,914.85 and 141,542.16

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Solution

The fourth proportional to 209,377.59, 288,914.85 and 141,542.16 is: 195,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,377.59 : 288,914.85 = 141,542.16 : x
  2. Step 2: Convert to fraction form
    209,377.59/288,914.85 = 141,542.16/x
  3. Step 3: Cross multiply
    209,377.59x = 288,914.85 × 141,542.16
  4. Step 4: Simplify right side
    209,377.59x = 40,893,631,925.08
  5. Step 5: Solve for x
    x = 40,893,631,925.08/209,377.59
  6. Step 6: Final answer
    x = 195,310.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.