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Finding the Fourth Proportional to 178,411.52, 246,066.18 and 151,642.64

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Solution

The fourth proportional to 178,411.52, 246,066.18 and 151,642.64 is: 209,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,411.52 : 246,066.18 = 151,642.64 : x
  2. Step 2: Convert to fraction form
    178,411.52/246,066.18 = 151,642.64/x
  3. Step 3: Cross multiply
    178,411.52x = 246,066.18 × 151,642.64
  4. Step 4: Simplify right side
    178,411.52x = 37,314,125,149.92
  5. Step 5: Solve for x
    x = 37,314,125,149.92/178,411.52
  6. Step 6: Final answer
    x = 209,146.39

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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.