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Finding the Fourth Proportional to 117,085.71, 161,582.20 and 71,754.94

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Solution

The fourth proportional to 117,085.71, 161,582.20 and 71,754.94 is: 99,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,085.71 : 161,582.20 = 71,754.94 : x
  2. Step 2: Convert to fraction form
    117,085.71/161,582.20 = 71,754.94/x
  3. Step 3: Cross multiply
    117,085.71x = 161,582.20 × 71,754.94
  4. Step 4: Simplify right side
    117,085.71x = 11,594,321,066.07
  5. Step 5: Solve for x
    x = 11,594,321,066.07/117,085.71
  6. Step 6: Final answer
    x = 99,024.22

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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.