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Finding the Fourth Proportional to 282,066.38, 389,244.84 and 154,740.86

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Solution

The fourth proportional to 282,066.38, 389,244.84 and 154,740.86 is: 213,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,066.38 : 389,244.84 = 154,740.86 : x
  2. Step 2: Convert to fraction form
    282,066.38/389,244.84 = 154,740.86/x
  3. Step 3: Cross multiply
    282,066.38x = 389,244.84 × 154,740.86
  4. Step 4: Simplify right side
    282,066.38x = 60,232,081,292.16
  5. Step 5: Solve for x
    x = 60,232,081,292.16/282,066.38
  6. Step 6: Final answer
    x = 213,538.68

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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.