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Finding the Fourth Proportional to 178,886.36, 246,866.05 and 102,405.14

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Solution

The fourth proportional to 178,886.36, 246,866.05 and 102,405.14 is: 141,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,886.36 : 246,866.05 = 102,405.14 : x
  2. Step 2: Convert to fraction form
    178,886.36/246,866.05 = 102,405.14/x
  3. Step 3: Cross multiply
    178,886.36x = 246,866.05 × 102,405.14
  4. Step 4: Simplify right side
    178,886.36x = 25,280,353,284.68
  5. Step 5: Solve for x
    x = 25,280,353,284.68/178,886.36
  6. Step 6: Final answer
    x = 141,320.75

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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.