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Finding the Fourth Proportional to 301,892.57, 452,811.08 and 102,190.13

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Solution

The fourth proportional to 301,892.57, 452,811.08 and 102,190.13 is: 153,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,892.57 : 452,811.08 = 102,190.13 : x
  2. Step 2: Convert to fraction form
    301,892.57/452,811.08 = 102,190.13/x
  3. Step 3: Cross multiply
    301,892.57x = 452,811.08 × 102,190.13
  4. Step 4: Simplify right side
    301,892.57x = 46,272,821,122.06
  5. Step 5: Solve for x
    x = 46,272,821,122.06/301,892.57
  6. Step 6: Final answer
    x = 153,275.79

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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.