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Finding the Fourth Proportional to 101,412.20, 151,826.70 and 98,496.20

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Solution

The fourth proportional to 101,412.20, 151,826.70 and 98,496.20 is: 147,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,412.20 : 151,826.70 = 98,496.20 : x
  2. Step 2: Convert to fraction form
    101,412.20/151,826.70 = 98,496.20/x
  3. Step 3: Cross multiply
    101,412.20x = 151,826.70 × 98,496.20
  4. Step 4: Simplify right side
    101,412.20x = 14,954,353,008.54
  5. Step 5: Solve for x
    x = 14,954,353,008.54/101,412.20
  6. Step 6: Final answer
    x = 147,461.08

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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.