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Finding the Fourth Proportional to 148,364.16, 222,477.12 and 86,052.48

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Solution

The fourth proportional to 148,364.16, 222,477.12 and 86,052.48 is: 129,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,364.16 : 222,477.12 = 86,052.48 : x
  2. Step 2: Convert to fraction form
    148,364.16/222,477.12 = 86,052.48/x
  3. Step 3: Cross multiply
    148,364.16x = 222,477.12 × 86,052.48
  4. Step 4: Simplify right side
    148,364.16x = 19,144,707,919.26
  5. Step 5: Solve for x
    x = 19,144,707,919.26/148,364.16
  6. Step 6: Final answer
    x = 129,038.63

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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.