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Finding the Fourth Proportional to 130,385.99, 180,019.10 and 100,117.01

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Solution

The fourth proportional to 130,385.99, 180,019.10 and 100,117.01 is: 138,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,385.99 : 180,019.10 = 100,117.01 : x
  2. Step 2: Convert to fraction form
    130,385.99/180,019.10 = 100,117.01/x
  3. Step 3: Cross multiply
    130,385.99x = 180,019.10 × 100,117.01
  4. Step 4: Simplify right side
    130,385.99x = 18,022,974,735.23
  5. Step 5: Solve for x
    x = 18,022,974,735.23/130,385.99
  6. Step 6: Final answer
    x = 138,227.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.