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Finding the Fourth Proportional to 242,571.90, 363,896.70 and 102,351.18

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Solution

The fourth proportional to 242,571.90, 363,896.70 and 102,351.18 is: 153,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571.90 : 363,896.70 = 102,351.18 : x
  2. Step 2: Convert to fraction form
    242,571.90/363,896.70 = 102,351.18/x
  3. Step 3: Cross multiply
    242,571.90x = 363,896.70 × 102,351.18
  4. Step 4: Simplify right side
    242,571.90x = 37,245,256,643.11
  5. Step 5: Solve for x
    x = 37,245,256,643.11/242,571.90
  6. Step 6: Final answer
    x = 153,543.16

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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.