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Finding the Fourth Proportional to 117,291.94, 161,848.38 and 83,288.02

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Solution

The fourth proportional to 117,291.94, 161,848.38 and 83,288.02 is: 114,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,291.94 : 161,848.38 = 83,288.02 : x
  2. Step 2: Convert to fraction form
    117,291.94/161,848.38 = 83,288.02/x
  3. Step 3: Cross multiply
    117,291.94x = 161,848.38 × 83,288.02
  4. Step 4: Simplify right side
    117,291.94x = 13,480,030,301.17
  5. Step 5: Solve for x
    x = 13,480,030,301.17/117,291.94
  6. Step 6: Final answer
    x = 114,927.17

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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.