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Finding the Fourth Proportional to 205,425.50, 308,164.17 and 70,515.86

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Solution

The fourth proportional to 205,425.50, 308,164.17 and 70,515.86 is: 105,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.50 : 308,164.17 = 70,515.86 : x
  2. Step 2: Convert to fraction form
    205,425.50/308,164.17 = 70,515.86/x
  3. Step 3: Cross multiply
    205,425.50x = 308,164.17 × 70,515.86
  4. Step 4: Simplify right side
    205,425.50x = 21,730,461,468.74
  5. Step 5: Solve for x
    x = 21,730,461,468.74/205,425.50
  6. Step 6: Final answer
    x = 105,782.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.