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Finding the Fourth Proportional to 282,772.98, 424,047.87 and 114,261.54

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Solution

The fourth proportional to 282,772.98, 424,047.87 and 114,261.54 is: 171,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,772.98 : 424,047.87 = 114,261.54 : x
  2. Step 2: Convert to fraction form
    282,772.98/424,047.87 = 114,261.54/x
  3. Step 3: Cross multiply
    282,772.98x = 424,047.87 × 114,261.54
  4. Step 4: Simplify right side
    282,772.98x = 48,452,362,659.92
  5. Step 5: Solve for x
    x = 48,452,362,659.92/282,772.98
  6. Step 6: Final answer
    x = 171,347.22

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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.