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Finding the Fourth Proportional to 180,937.60, 271,406.40 and 133,698.40

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Solution

The fourth proportional to 180,937.60, 271,406.40 and 133,698.40 is: 200,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,937.60 : 271,406.40 = 133,698.40 : x
  2. Step 2: Convert to fraction form
    180,937.60/271,406.40 = 133,698.40/x
  3. Step 3: Cross multiply
    180,937.60x = 271,406.40 × 133,698.40
  4. Step 4: Simplify right side
    180,937.60x = 36,286,601,429.76
  5. Step 5: Solve for x
    x = 36,286,601,429.76/180,937.60
  6. Step 6: Final answer
    x = 200,547.60

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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.