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Finding the Fourth Proportional to 176,902.30, 264,916.05 and 117,415.90

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Solution

The fourth proportional to 176,902.30, 264,916.05 and 117,415.90 is: 175,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,902.30 : 264,916.05 = 117,415.90 : x
  2. Step 2: Convert to fraction form
    176,902.30/264,916.05 = 117,415.90/x
  3. Step 3: Cross multiply
    176,902.30x = 264,916.05 × 117,415.90
  4. Step 4: Simplify right side
    176,902.30x = 31,105,356,435.20
  5. Step 5: Solve for x
    x = 31,105,356,435.20/176,902.30
  6. Step 6: Final answer
    x = 175,833.53

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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.