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Finding the Fourth Proportional to 203,092.14, 280,275.90 and 112,448.10

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Solution

The fourth proportional to 203,092.14, 280,275.90 and 112,448.10 is: 155,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,092.14 : 280,275.90 = 112,448.10 : x
  2. Step 2: Convert to fraction form
    203,092.14/280,275.90 = 112,448.10/x
  3. Step 3: Cross multiply
    203,092.14x = 280,275.90 × 112,448.10
  4. Step 4: Simplify right side
    203,092.14x = 31,516,492,430.79
  5. Step 5: Solve for x
    x = 31,516,492,430.79/203,092.14
  6. Step 6: Final answer
    x = 155,183.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.