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Finding the Fourth Proportional to 109,901.30, 164,657.55 and 94,349.30

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Solution

The fourth proportional to 109,901.30, 164,657.55 and 94,349.30 is: 141,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,901.30 : 164,657.55 = 94,349.30 : x
  2. Step 2: Convert to fraction form
    109,901.30/164,657.55 = 94,349.30/x
  3. Step 3: Cross multiply
    109,901.30x = 164,657.55 × 94,349.30
  4. Step 4: Simplify right side
    109,901.30x = 15,535,324,582.22
  5. Step 5: Solve for x
    x = 15,535,324,582.22/109,901.30
  6. Step 6: Final answer
    x = 141,357.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.