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Finding the Fourth Proportional to 210,035.24, 315,242.24 and 142,403.68

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Solution

The fourth proportional to 210,035.24, 315,242.24 and 142,403.68 is: 213,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,035.24 : 315,242.24 = 142,403.68 : x
  2. Step 2: Convert to fraction form
    210,035.24/315,242.24 = 142,403.68/x
  3. Step 3: Cross multiply
    210,035.24x = 315,242.24 × 142,403.68
  4. Step 4: Simplify right side
    210,035.24x = 44,891,655,067.44
  5. Step 5: Solve for x
    x = 44,891,655,067.44/210,035.24
  6. Step 6: Final answer
    x = 213,733.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.