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Finding the Fourth Proportional to 165,466, 228,325.80 and 93,823.12

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Solution

The fourth proportional to 165,466, 228,325.80 and 93,823.12 is: 129,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,466 : 228,325.80 = 93,823.12 : x
  2. Step 2: Convert to fraction form
    165,466/228,325.80 = 93,823.12/x
  3. Step 3: Cross multiply
    165,466x = 228,325.80 × 93,823.12
  4. Step 4: Simplify right side
    165,466x = 21,422,238,932.50
  5. Step 5: Solve for x
    x = 21,422,238,932.50/165,466
  6. Step 6: Final answer
    x = 129,466.11

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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.