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Finding the Fourth Proportional to 178,123.78, 267,203.18 and 51,765.12

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Solution

The fourth proportional to 178,123.78, 267,203.18 and 51,765.12 is: 77,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123.78 : 267,203.18 = 51,765.12 : x
  2. Step 2: Convert to fraction form
    178,123.78/267,203.18 = 51,765.12/x
  3. Step 3: Cross multiply
    178,123.78x = 267,203.18 × 51,765.12
  4. Step 4: Simplify right side
    178,123.78x = 13,831,804,677.08
  5. Step 5: Solve for x
    x = 13,831,804,677.08/178,123.78
  6. Step 6: Final answer
    x = 77,652.77

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1.5x scale

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.