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Finding the Fourth Proportional to 206,854.68, 285,459.48 and 116,210.64

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Solution

The fourth proportional to 206,854.68, 285,459.48 and 116,210.64 is: 160,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,854.68 : 285,459.48 = 116,210.64 : x
  2. Step 2: Convert to fraction form
    206,854.68/285,459.48 = 116,210.64/x
  3. Step 3: Cross multiply
    206,854.68x = 285,459.48 × 116,210.64
  4. Step 4: Simplify right side
    206,854.68x = 33,173,428,864.87
  5. Step 5: Solve for x
    x = 33,173,428,864.87/206,854.68
  6. Step 6: Final answer
    x = 160,370.70

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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.