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Finding the Fourth Proportional to 335,664, 503,693.64 and 148,677.12

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Solution

The fourth proportional to 335,664, 503,693.64 and 148,677.12 is: 223,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,664 : 503,693.64 = 148,677.12 : x
  2. Step 2: Convert to fraction form
    335,664/503,693.64 = 148,677.12/x
  3. Step 3: Cross multiply
    335,664x = 503,693.64 × 148,677.12
  4. Step 4: Simplify right side
    335,664x = 74,887,719,757.52
  5. Step 5: Solve for x
    x = 74,887,719,757.52/335,664
  6. Step 6: Final answer
    x = 223,103.22

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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.