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Finding the Fourth Proportional to 102,949.39, 142,087.16 and 70,657.48

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Solution

The fourth proportional to 102,949.39, 142,087.16 and 70,657.48 is: 97,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,949.39 : 142,087.16 = 70,657.48 : x
  2. Step 2: Convert to fraction form
    102,949.39/142,087.16 = 70,657.48/x
  3. Step 3: Cross multiply
    102,949.39x = 142,087.16 × 70,657.48
  4. Step 4: Simplify right side
    102,949.39x = 10,039,520,287.96
  5. Step 5: Solve for x
    x = 10,039,520,287.96/102,949.39
  6. Step 6: Final answer
    x = 97,518.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.