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Finding the Fourth Proportional to 102,148.25, 153,223.11 and 35,588.25

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Solution

The fourth proportional to 102,148.25, 153,223.11 and 35,588.25 is: 53,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,148.25 : 153,223.11 = 35,588.25 : x
  2. Step 2: Convert to fraction form
    102,148.25/153,223.11 = 35,588.25/x
  3. Step 3: Cross multiply
    102,148.25x = 153,223.11 × 35,588.25
  4. Step 4: Simplify right side
    102,148.25x = 5,452,942,344.46
  5. Step 5: Solve for x
    x = 5,452,942,344.46/102,148.25
  6. Step 6: Final answer
    x = 53,382.63

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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.