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Finding the Fourth Proportional to 147,124.98, 203,055.12 and 83,449.26

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Solution

The fourth proportional to 147,124.98, 203,055.12 and 83,449.26 is: 115,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,124.98 : 203,055.12 = 83,449.26 : x
  2. Step 2: Convert to fraction form
    147,124.98/203,055.12 = 83,449.26/x
  3. Step 3: Cross multiply
    147,124.98x = 203,055.12 × 83,449.26
  4. Step 4: Simplify right side
    147,124.98x = 16,944,799,503.21
  5. Step 5: Solve for x
    x = 16,944,799,503.21/147,124.98
  6. Step 6: Final answer
    x = 115,172.82

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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.