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Finding the Fourth Proportional to 161,140.93, 241,736.47 and 48,794.40

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Solution

The fourth proportional to 161,140.93, 241,736.47 and 48,794.40 is: 73,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,140.93 : 241,736.47 = 48,794.40 : x
  2. Step 2: Convert to fraction form
    161,140.93/241,736.47 = 48,794.40/x
  3. Step 3: Cross multiply
    161,140.93x = 241,736.47 × 48,794.40
  4. Step 4: Simplify right side
    161,140.93x = 11,795,386,738.10
  5. Step 5: Solve for x
    x = 11,795,386,738.10/161,140.93
  6. Step 6: Final answer
    x = 73,199.20

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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.