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Finding the Fourth Proportional to 129,036.25, 178,070.03 and 72,447.63

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Solution

The fourth proportional to 129,036.25, 178,070.03 and 72,447.63 is: 99,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,036.25 : 178,070.03 = 72,447.63 : x
  2. Step 2: Convert to fraction form
    129,036.25/178,070.03 = 72,447.63/x
  3. Step 3: Cross multiply
    129,036.25x = 178,070.03 × 72,447.63
  4. Step 4: Simplify right side
    129,036.25x = 12,900,751,647.53
  5. Step 5: Solve for x
    x = 12,900,751,647.53/129,036.25
  6. Step 6: Final answer
    x = 99,977.73

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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.