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Finding the Fourth Proportional to 210,209.97, 290,095.88 and 114,722.81

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Solution

The fourth proportional to 210,209.97, 290,095.88 and 114,722.81 is: 158,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,209.97 : 290,095.88 = 114,722.81 : x
  2. Step 2: Convert to fraction form
    210,209.97/290,095.88 = 114,722.81/x
  3. Step 3: Cross multiply
    210,209.97x = 290,095.88 × 114,722.81
  4. Step 4: Simplify right side
    210,209.97x = 33,280,612,498.93
  5. Step 5: Solve for x
    x = 33,280,612,498.93/210,209.97
  6. Step 6: Final answer
    x = 158,320.81

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