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Finding the Fourth Proportional to 142,657.68, 196,867.44 and 78,995.48

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Solution

The fourth proportional to 142,657.68, 196,867.44 and 78,995.48 is: 109,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.68 : 196,867.44 = 78,995.48 : x
  2. Step 2: Convert to fraction form
    142,657.68/196,867.44 = 78,995.48/x
  3. Step 3: Cross multiply
    142,657.68x = 196,867.44 × 78,995.48
  4. Step 4: Simplify right side
    142,657.68x = 15,551,636,934.83
  5. Step 5: Solve for x
    x = 15,551,636,934.83/142,657.68
  6. Step 6: Final answer
    x = 109,013.67

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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.