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Finding the Fourth Proportional to 282,194.69, 389,431.80 and 154,867.55

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Solution

The fourth proportional to 282,194.69, 389,431.80 and 154,867.55 is: 213,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,194.69 : 389,431.80 = 154,867.55 : x
  2. Step 2: Convert to fraction form
    282,194.69/389,431.80 = 154,867.55/x
  3. Step 3: Cross multiply
    282,194.69x = 389,431.80 × 154,867.55
  4. Step 4: Simplify right side
    282,194.69x = 60,310,346,810.93
  5. Step 5: Solve for x
    x = 60,310,346,810.93/282,194.69
  6. Step 6: Final answer
    x = 213,718.93

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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.