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Finding the Fourth Proportional to 221,877.91, 306,193.47 and 204,925.92

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Solution

The fourth proportional to 221,877.91, 306,193.47 and 204,925.92 is: 282,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,877.91 : 306,193.47 = 204,925.92 : x
  2. Step 2: Convert to fraction form
    221,877.91/306,193.47 = 204,925.92/x
  3. Step 3: Cross multiply
    221,877.91x = 306,193.47 × 204,925.92
  4. Step 4: Simplify right side
    221,877.91x = 62,746,978,537.74
  5. Step 5: Solve for x
    x = 62,746,978,537.74/221,877.91
  6. Step 6: Final answer
    x = 282,799.57

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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.