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Finding the Fourth Proportional to 161,298.65, 241,950.26 and 61,464.31

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Solution

The fourth proportional to 161,298.65, 241,950.26 and 61,464.31 is: 92,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,298.65 : 241,950.26 = 61,464.31 : x
  2. Step 2: Convert to fraction form
    161,298.65/241,950.26 = 61,464.31/x
  3. Step 3: Cross multiply
    161,298.65x = 241,950.26 × 61,464.31
  4. Step 4: Simplify right side
    161,298.65x = 14,871,305,785.22
  5. Step 5: Solve for x
    x = 14,871,305,785.22/161,298.65
  6. Step 6: Final answer
    x = 92,197.34

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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.