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Finding the Fourth Proportional to 147,034.36, 202,934.16 and 83,373.28

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Solution

The fourth proportional to 147,034.36, 202,934.16 and 83,373.28 is: 115,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,034.36 : 202,934.16 = 83,373.28 : x
  2. Step 2: Convert to fraction form
    147,034.36/202,934.16 = 83,373.28/x
  3. Step 3: Cross multiply
    147,034.36x = 202,934.16 × 83,373.28
  4. Step 4: Simplify right side
    147,034.36x = 16,919,286,543.24
  5. Step 5: Solve for x
    x = 16,919,286,543.24/147,034.36
  6. Step 6: Final answer
    x = 115,070.29

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