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Finding the Fourth Proportional to 282,685.78, 423,862.62 and 114,211.46

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Solution

The fourth proportional to 282,685.78, 423,862.62 and 114,211.46 is: 171,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,685.78 : 423,862.62 = 114,211.46 : x
  2. Step 2: Convert to fraction form
    282,685.78/423,862.62 = 114,211.46/x
  3. Step 3: Cross multiply
    282,685.78x = 423,862.62 × 114,211.46
  4. Step 4: Simplify right side
    282,685.78x = 48,409,968,669.63
  5. Step 5: Solve for x
    x = 48,409,968,669.63/282,685.78
  6. Step 6: Final answer
    x = 171,250.10

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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.