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Finding the Fourth Proportional to 119,110.14, 178,431.63 and 69,085.14

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Solution

The fourth proportional to 119,110.14, 178,431.63 and 69,085.14 is: 103,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,110.14 : 178,431.63 = 69,085.14 : x
  2. Step 2: Convert to fraction form
    119,110.14/178,431.63 = 69,085.14/x
  3. Step 3: Cross multiply
    119,110.14x = 178,431.63 × 69,085.14
  4. Step 4: Simplify right side
    119,110.14x = 12,326,974,138.98
  5. Step 5: Solve for x
    x = 12,326,974,138.98/119,110.14
  6. Step 6: Final answer
    x = 103,492.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.