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Finding the Fourth Proportional to 208,444.50, 312,590.16 and 71,628.80

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Solution

The fourth proportional to 208,444.50, 312,590.16 and 71,628.80 is: 107,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,444.50 : 312,590.16 = 71,628.80 : x
  2. Step 2: Convert to fraction form
    208,444.50/312,590.16 = 71,628.80/x
  3. Step 3: Cross multiply
    208,444.50x = 312,590.16 × 71,628.80
  4. Step 4: Simplify right side
    208,444.50x = 22,390,458,052.61
  5. Step 5: Solve for x
    x = 22,390,458,052.61/208,444.50
  6. Step 6: Final answer
    x = 107,416.88

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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.