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Finding the Fourth Proportional to 205,038.43, 282,768.85 and 128,565.87

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Solution

The fourth proportional to 205,038.43, 282,768.85 and 128,565.87 is: 177,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.43 : 282,768.85 = 128,565.87 : x
  2. Step 2: Convert to fraction form
    205,038.43/282,768.85 = 128,565.87/x
  3. Step 3: Cross multiply
    205,038.43x = 282,768.85 × 128,565.87
  4. Step 4: Simplify right side
    205,038.43x = 36,354,423,140.81
  5. Step 5: Solve for x
    x = 36,354,423,140.81/205,038.43
  6. Step 6: Final answer
    x = 177,305.41

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