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Finding the Fourth Proportional to 201,721.07, 302,485.01 and 117,505.17

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Solution

The fourth proportional to 201,721.07, 302,485.01 and 117,505.17 is: 176,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721.07 : 302,485.01 = 117,505.17 : x
  2. Step 2: Convert to fraction form
    201,721.07/302,485.01 = 117,505.17/x
  3. Step 3: Cross multiply
    201,721.07x = 302,485.01 × 117,505.17
  4. Step 4: Simplify right side
    201,721.07x = 35,543,552,522.50
  5. Step 5: Solve for x
    x = 35,543,552,522.50/201,721.07
  6. Step 6: Final answer
    x = 176,201.49

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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.