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Finding the Fourth Proportional to 201,951.90, 302,854.95 and 102,078.90

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Solution

The fourth proportional to 201,951.90, 302,854.95 and 102,078.90 is: 153,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,951.90 : 302,854.95 = 102,078.90 : x
  2. Step 2: Convert to fraction form
    201,951.90/302,854.95 = 102,078.90/x
  3. Step 3: Cross multiply
    201,951.90x = 302,854.95 × 102,078.90
  4. Step 4: Simplify right side
    201,951.90x = 30,915,100,155.56
  5. Step 5: Solve for x
    x = 30,915,100,155.56/201,951.90
  6. Step 6: Final answer
    x = 153,081.50

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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.