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Finding the Fourth Proportional to 165,733, 228,711.55 and 90,281.50

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Solution

The fourth proportional to 165,733, 228,711.55 and 90,281.50 is: 124,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,733 : 228,711.55 = 90,281.50 : x
  2. Step 2: Convert to fraction form
    165,733/228,711.55 = 90,281.50/x
  3. Step 3: Cross multiply
    165,733x = 228,711.55 × 90,281.50
  4. Step 4: Simplify right side
    165,733x = 20,648,421,801.33
  5. Step 5: Solve for x
    x = 20,648,421,801.33/165,733
  6. Step 6: Final answer
    x = 124,588.48

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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.