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Finding the Fourth Proportional to 142,657.96, 196,867.94 and 78,995.74

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Solution

The fourth proportional to 142,657.96, 196,867.94 and 78,995.74 is: 109,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.96 : 196,867.94 = 78,995.74 : x
  2. Step 2: Convert to fraction form
    142,657.96/196,867.94 = 78,995.74/x
  3. Step 3: Cross multiply
    142,657.96x = 196,867.94 × 78,995.74
  4. Step 4: Simplify right side
    142,657.96x = 15,551,728,602.58
  5. Step 5: Solve for x
    x = 15,551,728,602.58/142,657.96
  6. Step 6: Final answer
    x = 109,014.10

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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.