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Finding the Fourth Proportional to 201,663.84, 302,493.71 and 51,903.56

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Solution

The fourth proportional to 201,663.84, 302,493.71 and 51,903.56 is: 77,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663.84 : 302,493.71 = 51,903.56 : x
  2. Step 2: Convert to fraction form
    201,663.84/302,493.71 = 51,903.56/x
  3. Step 3: Cross multiply
    201,663.84x = 302,493.71 × 51,903.56
  4. Step 4: Simplify right side
    201,663.84x = 15,700,498,654.62
  5. Step 5: Solve for x
    x = 15,700,498,654.62/201,663.84
  6. Step 6: Final answer
    x = 77,854.80

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1.5x scale

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.