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Finding the Fourth Proportional to 201,496.29, 302,233.51 and 61,243.98

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Solution

The fourth proportional to 201,496.29, 302,233.51 and 61,243.98 is: 91,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,496.29 : 302,233.51 = 61,243.98 : x
  2. Step 2: Convert to fraction form
    201,496.29/302,233.51 = 61,243.98/x
  3. Step 3: Cross multiply
    201,496.29x = 302,233.51 × 61,243.98
  4. Step 4: Simplify right side
    201,496.29x = 18,509,983,041.77
  5. Step 5: Solve for x
    x = 18,509,983,041.77/201,496.29
  6. Step 6: Final answer
    x = 91,862.65

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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.