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Finding the Fourth Proportional to 280,539.82, 387,142.02 and 153,215.38

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Solution

The fourth proportional to 280,539.82, 387,142.02 and 153,215.38 is: 211,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,539.82 : 387,142.02 = 153,215.38 : x
  2. Step 2: Convert to fraction form
    280,539.82/387,142.02 = 153,215.38/x
  3. Step 3: Cross multiply
    280,539.82x = 387,142.02 × 153,215.38
  4. Step 4: Simplify right side
    280,539.82x = 59,316,111,708.27
  5. Step 5: Solve for x
    x = 59,316,111,708.27/280,539.82
  6. Step 6: Final answer
    x = 211,435.62

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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.