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Finding the Fourth Proportional to 201,709.52, 302,597.11 and 59,569.17

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Solution

The fourth proportional to 201,709.52, 302,597.11 and 59,569.17 is: 89,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709.52 : 302,597.11 = 59,569.17 : x
  2. Step 2: Convert to fraction form
    201,709.52/302,597.11 = 59,569.17/x
  3. Step 3: Cross multiply
    201,709.52x = 302,597.11 × 59,569.17
  4. Step 4: Simplify right side
    201,709.52x = 18,025,458,687.10
  5. Step 5: Solve for x
    x = 18,025,458,687.10/201,709.52
  6. Step 6: Final answer
    x = 89,363.45

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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.