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Finding the Fourth Proportional to 148,017, 222,058.29 and 69,088.14

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Solution

The fourth proportional to 148,017, 222,058.29 and 69,088.14 is: 103,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,017 : 222,058.29 = 69,088.14 : x
  2. Step 2: Convert to fraction form
    148,017/222,058.29 = 69,088.14/x
  3. Step 3: Cross multiply
    148,017x = 222,058.29 × 69,088.14
  4. Step 4: Simplify right side
    148,017x = 15,341,594,227.68
  5. Step 5: Solve for x
    x = 15,341,594,227.68/148,017
  6. Step 6: Final answer
    x = 103,647.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.