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Finding the Fourth Proportional to 117,174.24, 175,725 and 42,284.68

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Solution

The fourth proportional to 117,174.24, 175,725 and 42,284.68 is: 63,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,174.24 : 175,725 = 42,284.68 : x
  2. Step 2: Convert to fraction form
    117,174.24/175,725 = 42,284.68/x
  3. Step 3: Cross multiply
    117,174.24x = 175,725 × 42,284.68
  4. Step 4: Simplify right side
    117,174.24x = 7,430,475,393
  5. Step 5: Solve for x
    x = 7,430,475,393/117,174.24
  6. Step 6: Final answer
    x = 63,413.90

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