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Finding the Fourth Proportional to 107,461.68, 161,028.36 and 45,098.16

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Solution

The fourth proportional to 107,461.68, 161,028.36 and 45,098.16 is: 67,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,461.68 : 161,028.36 = 45,098.16 : x
  2. Step 2: Convert to fraction form
    107,461.68/161,028.36 = 45,098.16/x
  3. Step 3: Cross multiply
    107,461.68x = 161,028.36 × 45,098.16
  4. Step 4: Simplify right side
    107,461.68x = 7,262,082,743.82
  5. Step 5: Solve for x
    x = 7,262,082,743.82/107,461.68
  6. Step 6: Final answer
    x = 67,578.35

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1.5x scale

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.