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Finding the Fourth Proportional to 176,002.74, 242,915.76 and 115,466.58

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Solution

The fourth proportional to 176,002.74, 242,915.76 and 115,466.58 is: 159,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,002.74 : 242,915.76 = 115,466.58 : x
  2. Step 2: Convert to fraction form
    176,002.74/242,915.76 = 115,466.58/x
  3. Step 3: Cross multiply
    176,002.74x = 242,915.76 × 115,466.58
  4. Step 4: Simplify right side
    176,002.74x = 28,048,652,035.30
  5. Step 5: Solve for x
    x = 28,048,652,035.30/176,002.74
  6. Step 6: Final answer
    x = 159,364.86

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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.