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Finding the Fourth Proportional to 117,292.94, 161,849.76 and 83,289.02

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Solution

The fourth proportional to 117,292.94, 161,849.76 and 83,289.02 is: 114,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,292.94 : 161,849.76 = 83,289.02 : x
  2. Step 2: Convert to fraction form
    117,292.94/161,849.76 = 83,289.02/x
  3. Step 3: Cross multiply
    117,292.94x = 161,849.76 × 83,289.02
  4. Step 4: Simplify right side
    117,292.94x = 13,480,307,897.64
  5. Step 5: Solve for x
    x = 13,480,307,897.64/117,292.94
  6. Step 6: Final answer
    x = 114,928.55

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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.