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Finding the Fourth Proportional to 101,298.04, 151,790.10 and 76,311.16

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Solution

The fourth proportional to 101,298.04, 151,790.10 and 76,311.16 is: 114,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,298.04 : 151,790.10 = 76,311.16 : x
  2. Step 2: Convert to fraction form
    101,298.04/151,790.10 = 76,311.16/x
  3. Step 3: Cross multiply
    101,298.04x = 151,790.10 × 76,311.16
  4. Step 4: Simplify right side
    101,298.04x = 11,583,278,607.52
  5. Step 5: Solve for x
    x = 11,583,278,607.52/101,298.04
  6. Step 6: Final answer
    x = 114,348.50

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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.