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Finding the Fourth Proportional to 122,870, 184,284.40 and 34,132.47

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Solution

The fourth proportional to 122,870, 184,284.40 and 34,132.47 is: 51,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,870 : 184,284.40 = 34,132.47 : x
  2. Step 2: Convert to fraction form
    122,870/184,284.40 = 34,132.47/x
  3. Step 3: Cross multiply
    122,870x = 184,284.40 × 34,132.47
  4. Step 4: Simplify right side
    122,870x = 6,290,081,754.47
  5. Step 5: Solve for x
    x = 6,290,081,754.47/122,870
  6. Step 6: Final answer
    x = 51,192.98

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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.