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Finding the Fourth Proportional to 177,093.66, 265,658.85 and 102,297.90

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Solution

The fourth proportional to 177,093.66, 265,658.85 and 102,297.90 is: 153,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,093.66 : 265,658.85 = 102,297.90 : x
  2. Step 2: Convert to fraction form
    177,093.66/265,658.85 = 102,297.90/x
  3. Step 3: Cross multiply
    177,093.66x = 265,658.85 × 102,297.90
  4. Step 4: Simplify right side
    177,093.66x = 27,176,342,471.42
  5. Step 5: Solve for x
    x = 27,176,342,471.42/177,093.66
  6. Step 6: Final answer
    x = 153,457.46

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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.