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Finding the Fourth Proportional to 201,741.50, 301,864.77 and 148,472.82

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Solution

The fourth proportional to 201,741.50, 301,864.77 and 148,472.82 is: 222,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,741.50 : 301,864.77 = 148,472.82 : x
  2. Step 2: Convert to fraction form
    201,741.50/301,864.77 = 148,472.82/x
  3. Step 3: Cross multiply
    201,741.50x = 301,864.77 × 148,472.82
  4. Step 4: Simplify right side
    201,741.50x = 44,818,713,660.55
  5. Step 5: Solve for x
    x = 44,818,713,660.55/201,741.50
  6. Step 6: Final answer
    x = 222,159.12

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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.