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Finding the Fourth Proportional to 195,280, 292,920.06 and 47,536

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Solution

The fourth proportional to 195,280, 292,920.06 and 47,536 is: 71,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,280 : 292,920.06 = 47,536 : x
  2. Step 2: Convert to fraction form
    195,280/292,920.06 = 47,536/x
  3. Step 3: Cross multiply
    195,280x = 292,920.06 × 47,536
  4. Step 4: Simplify right side
    195,280x = 13,924,247,972.16
  5. Step 5: Solve for x
    x = 13,924,247,972.16/195,280
  6. Step 6: Final answer
    x = 71,304.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.