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Finding the Fourth Proportional to 176,410.42, 265,140.51 and 82,981.78

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Solution

The fourth proportional to 176,410.42, 265,140.51 and 82,981.78 is: 124,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,410.42 : 265,140.51 = 82,981.78 : x
  2. Step 2: Convert to fraction form
    176,410.42/265,140.51 = 82,981.78/x
  3. Step 3: Cross multiply
    176,410.42x = 265,140.51 × 82,981.78
  4. Step 4: Simplify right side
    176,410.42x = 22,001,831,469.91
  5. Step 5: Solve for x
    x = 22,001,831,469.91/176,410.42
  6. Step 6: Final answer
    x = 124,719.57

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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.