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Finding the Fourth Proportional to 164,284.68, 226,712.70 and 88,833

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Solution

The fourth proportional to 164,284.68, 226,712.70 and 88,833 is: 122,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,284.68 : 226,712.70 = 88,833 : x
  2. Step 2: Convert to fraction form
    164,284.68/226,712.70 = 88,833/x
  3. Step 3: Cross multiply
    164,284.68x = 226,712.70 × 88,833
  4. Step 4: Simplify right side
    164,284.68x = 20,139,569,279.10
  5. Step 5: Solve for x
    x = 20,139,569,279.10/164,284.68
  6. Step 6: Final answer
    x = 122,589.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.