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Finding the Fourth Proportional to 149,980.11, 224,721.03 and 105,513.44

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Solution

The fourth proportional to 149,980.11, 224,721.03 and 105,513.44 is: 158,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,980.11 : 224,721.03 = 105,513.44 : x
  2. Step 2: Convert to fraction form
    149,980.11/224,721.03 = 105,513.44/x
  3. Step 3: Cross multiply
    149,980.11x = 224,721.03 × 105,513.44
  4. Step 4: Simplify right side
    149,980.11x = 23,711,088,187.71
  5. Step 5: Solve for x
    x = 23,711,088,187.71/149,980.11
  6. Step 6: Final answer
    x = 158,094.89

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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.