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Finding the Fourth Proportional to 129,111.66, 178,172.70 and 75,405.02

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Solution

The fourth proportional to 129,111.66, 178,172.70 and 75,405.02 is: 104,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,111.66 : 178,172.70 = 75,405.02 : x
  2. Step 2: Convert to fraction form
    129,111.66/178,172.70 = 75,405.02/x
  3. Step 3: Cross multiply
    129,111.66x = 178,172.70 × 75,405.02
  4. Step 4: Simplify right side
    129,111.66x = 13,435,115,116.09
  5. Step 5: Solve for x
    x = 13,435,115,116.09/129,111.66
  6. Step 6: Final answer
    x = 104,058.11

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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.