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Finding the Fourth Proportional to 193,516.14, 290,384.76 and 75,172.08

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Solution

The fourth proportional to 193,516.14, 290,384.76 and 75,172.08 is: 112,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,516.14 : 290,384.76 = 75,172.08 : x
  2. Step 2: Convert to fraction form
    193,516.14/290,384.76 = 75,172.08/x
  3. Step 3: Cross multiply
    193,516.14x = 290,384.76 × 75,172.08
  4. Step 4: Simplify right side
    193,516.14x = 21,828,826,409.50
  5. Step 5: Solve for x
    x = 21,828,826,409.50/193,516.14
  6. Step 6: Final answer
    x = 112,801.06

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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.