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Finding the Fourth Proportional to 206,925.44, 285,547.90 and 120,892.40

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Solution

The fourth proportional to 206,925.44, 285,547.90 and 120,892.40 is: 166,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,925.44 : 285,547.90 = 120,892.40 : x
  2. Step 2: Convert to fraction form
    206,925.44/285,547.90 = 120,892.40/x
  3. Step 3: Cross multiply
    206,925.44x = 285,547.90 × 120,892.40
  4. Step 4: Simplify right side
    206,925.44x = 34,520,570,945.96
  5. Step 5: Solve for x
    x = 34,520,570,945.96/206,925.44
  6. Step 6: Final answer
    x = 166,826.13

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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.