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Finding the Fourth Proportional to 102,272.16, 153,359.52 and 35,704.16

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Solution

The fourth proportional to 102,272.16, 153,359.52 and 35,704.16 is: 53,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,272.16 : 153,359.52 = 35,704.16 : x
  2. Step 2: Convert to fraction form
    102,272.16/153,359.52 = 35,704.16/x
  3. Step 3: Cross multiply
    102,272.16x = 153,359.52 × 35,704.16
  4. Step 4: Simplify right side
    102,272.16x = 5,475,572,839.60
  5. Step 5: Solve for x
    x = 5,475,572,839.60/102,272.16
  6. Step 6: Final answer
    x = 53,539.23

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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.