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Finding the Fourth Proportional to 178,531.82, 246,373.80 and 97,959.86

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Solution

The fourth proportional to 178,531.82, 246,373.80 and 97,959.86 is: 135,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,531.82 : 246,373.80 = 97,959.86 : x
  2. Step 2: Convert to fraction form
    178,531.82/246,373.80 = 97,959.86/x
  3. Step 3: Cross multiply
    178,531.82x = 246,373.80 × 97,959.86
  4. Step 4: Simplify right side
    178,531.82x = 24,134,742,955.67
  5. Step 5: Solve for x
    x = 24,134,742,955.67/178,531.82
  6. Step 6: Final answer
    x = 135,184.55

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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.