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Finding the Fourth Proportional to 176,280, 243,266.40 and 96,792

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Solution

The fourth proportional to 176,280, 243,266.40 and 96,792 is: 133,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,280 : 243,266.40 = 96,792 : x
  2. Step 2: Convert to fraction form
    176,280/243,266.40 = 96,792/x
  3. Step 3: Cross multiply
    176,280x = 243,266.40 × 96,792
  4. Step 4: Simplify right side
    176,280x = 23,546,241,388.80
  5. Step 5: Solve for x
    x = 23,546,241,388.80/176,280
  6. Step 6: Final answer
    x = 133,572.96

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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.