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Finding the Fourth Proportional to 189,465.20, 284,428.20 and 142,348.40

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Solution

The fourth proportional to 189,465.20, 284,428.20 and 142,348.40 is: 213,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,465.20 : 284,428.20 = 142,348.40 : x
  2. Step 2: Convert to fraction form
    189,465.20/284,428.20 = 142,348.40/x
  3. Step 3: Cross multiply
    189,465.20x = 284,428.20 × 142,348.40
  4. Step 4: Simplify right side
    189,465.20x = 40,487,899,184.88
  5. Step 5: Solve for x
    x = 40,487,899,184.88/189,465.20
  6. Step 6: Final answer
    x = 213,695.70

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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.