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Finding the Fourth Proportional to 280,984.88, 387,751.26 and 153,657.74

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Solution

The fourth proportional to 280,984.88, 387,751.26 and 153,657.74 is: 212,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,984.88 : 387,751.26 = 153,657.74 : x
  2. Step 2: Convert to fraction form
    280,984.88/387,751.26 = 153,657.74/x
  3. Step 3: Cross multiply
    280,984.88x = 387,751.26 × 153,657.74
  4. Step 4: Simplify right side
    280,984.88x = 59,580,982,293.75
  5. Step 5: Solve for x
    x = 59,580,982,293.75/280,984.88
  6. Step 6: Final answer
    x = 212,043.38

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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.