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Finding the Fourth Proportional to 178,848.60, 268,175.70 and 73,678.20

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Solution

The fourth proportional to 178,848.60, 268,175.70 and 73,678.20 is: 110,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848.60 : 268,175.70 = 73,678.20 : x
  2. Step 2: Convert to fraction form
    178,848.60/268,175.70 = 73,678.20/x
  3. Step 3: Cross multiply
    178,848.60x = 268,175.70 × 73,678.20
  4. Step 4: Simplify right side
    178,848.60x = 19,758,702,859.74
  5. Step 5: Solve for x
    x = 19,758,702,859.74/178,848.60
  6. Step 6: Final answer
    x = 110,477.26

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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.