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Finding the Fourth Proportional to 178,536.84, 267,797.16 and 78,670.32

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Solution

The fourth proportional to 178,536.84, 267,797.16 and 78,670.32 is: 118,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536.84 : 267,797.16 = 78,670.32 : x
  2. Step 2: Convert to fraction form
    178,536.84/267,797.16 = 78,670.32/x
  3. Step 3: Cross multiply
    178,536.84x = 267,797.16 × 78,670.32
  4. Step 4: Simplify right side
    178,536.84x = 21,067,688,272.29
  5. Step 5: Solve for x
    x = 21,067,688,272.29/178,536.84
  6. Step 6: Final answer
    x = 118,001.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.