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Finding the Fourth Proportional to 193,603.34, 290,419.59 and 53,360.75

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Solution

The fourth proportional to 193,603.34, 290,419.59 and 53,360.75 is: 80,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,603.34 : 290,419.59 = 53,360.75 : x
  2. Step 2: Convert to fraction form
    193,603.34/290,419.59 = 53,360.75/x
  3. Step 3: Cross multiply
    193,603.34x = 290,419.59 × 53,360.75
  4. Step 4: Simplify right side
    193,603.34x = 15,497,007,137.09
  5. Step 5: Solve for x
    x = 15,497,007,137.09/193,603.34
  6. Step 6: Final answer
    x = 80,045.14

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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.