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Finding the Fourth Proportional to 147,315.93, 203,296.01 and 80,247.93

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Solution

The fourth proportional to 147,315.93, 203,296.01 and 80,247.93 is: 110,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,315.93 : 203,296.01 = 80,247.93 : x
  2. Step 2: Convert to fraction form
    147,315.93/203,296.01 = 80,247.93/x
  3. Step 3: Cross multiply
    147,315.93x = 203,296.01 × 80,247.93
  4. Step 4: Simplify right side
    147,315.93x = 16,314,083,578.52
  5. Step 5: Solve for x
    x = 16,314,083,578.52/147,315.93
  6. Step 6: Final answer
    x = 110,742.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.