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Finding the Fourth Proportional to 201,792.16, 302,646.90 and 75,409.08

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Solution

The fourth proportional to 201,792.16, 302,646.90 and 75,409.08 is: 113,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,792.16 : 302,646.90 = 75,409.08 : x
  2. Step 2: Convert to fraction form
    201,792.16/302,646.90 = 75,409.08/x
  3. Step 3: Cross multiply
    201,792.16x = 302,646.90 × 75,409.08
  4. Step 4: Simplify right side
    201,792.16x = 22,822,324,293.85
  5. Step 5: Solve for x
    x = 22,822,324,293.85/201,792.16
  6. Step 6: Final answer
    x = 113,098.17

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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.