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Finding the Fourth Proportional to 255,459.64, 352,545.12 and 142,282.38

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Solution

The fourth proportional to 255,459.64, 352,545.12 and 142,282.38 is: 196,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,459.64 : 352,545.12 = 142,282.38 : x
  2. Step 2: Convert to fraction form
    255,459.64/352,545.12 = 142,282.38/x
  3. Step 3: Cross multiply
    255,459.64x = 352,545.12 × 142,282.38
  4. Step 4: Simplify right side
    255,459.64x = 50,160,958,730.99
  5. Step 5: Solve for x
    x = 50,160,958,730.99/255,459.64
  6. Step 6: Final answer
    x = 196,355.71

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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.