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Finding the Fourth Proportional to 216,854.64, 325,282.32 and 142,444.80

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Solution

The fourth proportional to 216,854.64, 325,282.32 and 142,444.80 is: 213,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,854.64 : 325,282.32 = 142,444.80 : x
  2. Step 2: Convert to fraction form
    216,854.64/325,282.32 = 142,444.80/x
  3. Step 3: Cross multiply
    216,854.64x = 325,282.32 × 142,444.80
  4. Step 4: Simplify right side
    216,854.64x = 46,334,775,015.94
  5. Step 5: Solve for x
    x = 46,334,775,015.94/216,854.64
  6. Step 6: Final answer
    x = 213,667.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.