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Finding the Fourth Proportional to 98,186, 147,189.01 and 38,254.91

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Solution

The fourth proportional to 98,186, 147,189.01 and 38,254.91 is: 57,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186 : 147,189.01 = 38,254.91 : x
  2. Step 2: Convert to fraction form
    98,186/147,189.01 = 38,254.91/x
  3. Step 3: Cross multiply
    98,186x = 147,189.01 × 38,254.91
  4. Step 4: Simplify right side
    98,186x = 5,630,702,330.54
  5. Step 5: Solve for x
    x = 5,630,702,330.54/98,186
  6. Step 6: Final answer
    x = 57,347.30

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