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Finding the Fourth Proportional to 210,502.92, 290,483.46 and 114,992.04

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Solution

The fourth proportional to 210,502.92, 290,483.46 and 114,992.04 is: 158,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,502.92 : 290,483.46 = 114,992.04 : x
  2. Step 2: Convert to fraction form
    210,502.92/290,483.46 = 114,992.04/x
  3. Step 3: Cross multiply
    210,502.92x = 290,483.46 × 114,992.04
  4. Step 4: Simplify right side
    210,502.92x = 33,403,285,651.66
  5. Step 5: Solve for x
    x = 33,403,285,651.66/210,502.92
  6. Step 6: Final answer
    x = 158,683.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.