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Finding the Fourth Proportional to 210,503.92, 290,484.84 and 114,993.04

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Solution

The fourth proportional to 210,503.92, 290,484.84 and 114,993.04 is: 158,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,503.92 : 290,484.84 = 114,993.04 : x
  2. Step 2: Convert to fraction form
    210,503.92/290,484.84 = 114,993.04/x
  3. Step 3: Cross multiply
    210,503.92x = 290,484.84 × 114,993.04
  4. Step 4: Simplify right side
    210,503.92x = 33,403,734,825.51
  5. Step 5: Solve for x
    x = 33,403,734,825.51/210,503.92
  6. Step 6: Final answer
    x = 158,684.62

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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.