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Finding the Fourth Proportional to 129,661.60, 194,492.40 and 106,314.40

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Solution

The fourth proportional to 129,661.60, 194,492.40 and 106,314.40 is: 159,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,661.60 : 194,492.40 = 106,314.40 : x
  2. Step 2: Convert to fraction form
    129,661.60/194,492.40 = 106,314.40/x
  3. Step 3: Cross multiply
    129,661.60x = 194,492.40 × 106,314.40
  4. Step 4: Simplify right side
    129,661.60x = 20,677,342,810.56
  5. Step 5: Solve for x
    x = 20,677,342,810.56/129,661.60
  6. Step 6: Final answer
    x = 159,471.60

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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.