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Finding the Fourth Proportional to 100,345.89, 138,373.97 and 70,120.20

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Solution

The fourth proportional to 100,345.89, 138,373.97 and 70,120.20 is: 96,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,345.89 : 138,373.97 = 70,120.20 : x
  2. Step 2: Convert to fraction form
    100,345.89/138,373.97 = 70,120.20/x
  3. Step 3: Cross multiply
    100,345.89x = 138,373.97 × 70,120.20
  4. Step 4: Simplify right side
    100,345.89x = 9,702,810,100.59
  5. Step 5: Solve for x
    x = 9,702,810,100.59/100,345.89
  6. Step 6: Final answer
    x = 96,693.65

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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.