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Finding the Fourth Proportional to 134,214.60, 201,149.10 and 102,894.60

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Solution

The fourth proportional to 134,214.60, 201,149.10 and 102,894.60 is: 154,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,214.60 : 201,149.10 = 102,894.60 : x
  2. Step 2: Convert to fraction form
    134,214.60/201,149.10 = 102,894.60/x
  3. Step 3: Cross multiply
    134,214.60x = 201,149.10 × 102,894.60
  4. Step 4: Simplify right side
    134,214.60x = 20,697,156,184.86
  5. Step 5: Solve for x
    x = 20,697,156,184.86/134,214.60
  6. Step 6: Final answer
    x = 154,209.42

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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.