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Finding the Fourth Proportional to 102,958.38, 142,099.59 and 70,666.47

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Solution

The fourth proportional to 102,958.38, 142,099.59 and 70,666.47 is: 97,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,958.38 : 142,099.59 = 70,666.47 : x
  2. Step 2: Convert to fraction form
    102,958.38/142,099.59 = 70,666.47/x
  3. Step 3: Cross multiply
    102,958.38x = 142,099.59 × 70,666.47
  4. Step 4: Simplify right side
    102,958.38x = 10,041,676,413.75
  5. Step 5: Solve for x
    x = 10,041,676,413.75/102,958.38
  6. Step 6: Final answer
    x = 97,531.41

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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.