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Finding the Fourth Proportional to 165,572.25, 248,400.29 and 47,244

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Solution

The fourth proportional to 165,572.25, 248,400.29 and 47,244 is: 70,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,572.25 : 248,400.29 = 47,244 : x
  2. Step 2: Convert to fraction form
    165,572.25/248,400.29 = 47,244/x
  3. Step 3: Cross multiply
    165,572.25x = 248,400.29 × 47,244
  4. Step 4: Simplify right side
    165,572.25x = 11,735,423,300.76
  5. Step 5: Solve for x
    x = 11,735,423,300.76/165,572.25
  6. Step 6: Final answer
    x = 70,877.96

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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.