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Finding the Fourth Proportional to 276,702.16, 414,703.56 and 148,299.34

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Solution

The fourth proportional to 276,702.16, 414,703.56 and 148,299.34 is: 222,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,702.16 : 414,703.56 = 148,299.34 : x
  2. Step 2: Convert to fraction form
    276,702.16/414,703.56 = 148,299.34/x
  3. Step 3: Cross multiply
    276,702.16x = 414,703.56 × 148,299.34
  4. Step 4: Simplify right side
    276,702.16x = 61,500,264,243.65
  5. Step 5: Solve for x
    x = 61,500,264,243.65/276,702.16
  6. Step 6: Final answer
    x = 222,261.60

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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.