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Finding the Fourth Proportional to 101,246.42, 151,774.92 and 45,056.00

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Solution

The fourth proportional to 101,246.42, 151,774.92 and 45,056.00 is: 67,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,246.42 : 151,774.92 = 45,056.00 : x
  2. Step 2: Convert to fraction form
    101,246.42/151,774.92 = 45,056.00/x
  3. Step 3: Cross multiply
    101,246.42x = 151,774.92 × 45,056.00
  4. Step 4: Simplify right side
    101,246.42x = 6,838,371,174.96
  5. Step 5: Solve for x
    x = 6,838,371,174.96/101,246.42
  6. Step 6: Final answer
    x = 67,541.85

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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.