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Finding the Fourth Proportional to 201,862.52, 302,802.15 and 75,490.10

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Solution

The fourth proportional to 201,862.52, 302,802.15 and 75,490.10 is: 113,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.52 : 302,802.15 = 75,490.10 : x
  2. Step 2: Convert to fraction form
    201,862.52/302,802.15 = 75,490.10/x
  3. Step 3: Cross multiply
    201,862.52x = 302,802.15 × 75,490.10
  4. Step 4: Simplify right side
    201,862.52x = 22,858,564,583.72
  5. Step 5: Solve for x
    x = 22,858,564,583.72/201,862.52
  6. Step 6: Final answer
    x = 113,238.28

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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.