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Finding the Fourth Proportional to 165,307.50, 228,125.16 and 89,856

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Solution

The fourth proportional to 165,307.50, 228,125.16 and 89,856 is: 124,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,307.50 : 228,125.16 = 89,856 : x
  2. Step 2: Convert to fraction form
    165,307.50/228,125.16 = 89,856/x
  3. Step 3: Cross multiply
    165,307.50x = 228,125.16 × 89,856
  4. Step 4: Simplify right side
    165,307.50x = 20,498,414,376.96
  5. Step 5: Solve for x
    x = 20,498,414,376.96/165,307.50
  6. Step 6: Final answer
    x = 124,001.72

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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.