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Finding the Fourth Proportional to 193,145.60, 289,718.40 and 137,158.40

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Solution

The fourth proportional to 193,145.60, 289,718.40 and 137,158.40 is: 205,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,145.60 : 289,718.40 = 137,158.40 : x
  2. Step 2: Convert to fraction form
    193,145.60/289,718.40 = 137,158.40/x
  3. Step 3: Cross multiply
    193,145.60x = 289,718.40 × 137,158.40
  4. Step 4: Simplify right side
    193,145.60x = 39,737,312,194.56
  5. Step 5: Solve for x
    x = 39,737,312,194.56/193,145.60
  6. Step 6: Final answer
    x = 205,737.60

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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.