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Finding the Fourth Proportional to 202,944.96, 280,064.40 and 112,304.76

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Solution

The fourth proportional to 202,944.96, 280,064.40 and 112,304.76 is: 154,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,944.96 : 280,064.40 = 112,304.76 : x
  2. Step 2: Convert to fraction form
    202,944.96/280,064.40 = 112,304.76/x
  3. Step 3: Cross multiply
    202,944.96x = 280,064.40 × 112,304.76
  4. Step 4: Simplify right side
    202,944.96x = 31,452,565,226.54
  5. Step 5: Solve for x
    x = 31,452,565,226.54/202,944.96
  6. Step 6: Final answer
    x = 154,980.77

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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.