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Finding the Fourth Proportional to 193,858.76, 290,827.14 and 69,196.52

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Solution

The fourth proportional to 193,858.76, 290,827.14 and 69,196.52 is: 103,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,858.76 : 290,827.14 = 69,196.52 : x
  2. Step 2: Convert to fraction form
    193,858.76/290,827.14 = 69,196.52/x
  3. Step 3: Cross multiply
    193,858.76x = 290,827.14 × 69,196.52
  4. Step 4: Simplify right side
    193,858.76x = 20,124,226,009.55
  5. Step 5: Solve for x
    x = 20,124,226,009.55/193,858.76
  6. Step 6: Final answer
    x = 103,808.70

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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.