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Finding the Fourth Proportional to 148,406.16, 222,635.16 and 65,298

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Solution

The fourth proportional to 148,406.16, 222,635.16 and 65,298 is: 97,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,406.16 : 222,635.16 = 65,298 : x
  2. Step 2: Convert to fraction form
    148,406.16/222,635.16 = 65,298/x
  3. Step 3: Cross multiply
    148,406.16x = 222,635.16 × 65,298
  4. Step 4: Simplify right side
    148,406.16x = 14,537,630,677.68
  5. Step 5: Solve for x
    x = 14,537,630,677.68/148,406.16
  6. Step 6: Final answer
    x = 97,958.40

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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.