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Finding the Fourth Proportional to 227,971.80, 342,152.10 and 101,806.20

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Solution

The fourth proportional to 227,971.80, 342,152.10 and 101,806.20 is: 152,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,971.80 : 342,152.10 = 101,806.20 : x
  2. Step 2: Convert to fraction form
    227,971.80/342,152.10 = 101,806.20/x
  3. Step 3: Cross multiply
    227,971.80x = 342,152.10 × 101,806.20
  4. Step 4: Simplify right side
    227,971.80x = 34,833,205,123.02
  5. Step 5: Solve for x
    x = 34,833,205,123.02/227,971.80
  6. Step 6: Final answer
    x = 152,796.11

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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.