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Finding the Fourth Proportional to 251,271.71, 346,835.77 and 160,871.16

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Solution

The fourth proportional to 251,271.71, 346,835.77 and 160,871.16 is: 222,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,271.71 : 346,835.77 = 160,871.16 : x
  2. Step 2: Convert to fraction form
    251,271.71/346,835.77 = 160,871.16/x
  3. Step 3: Cross multiply
    251,271.71x = 346,835.77 × 160,871.16
  4. Step 4: Simplify right side
    251,271.71x = 55,795,871,549.85
  5. Step 5: Solve for x
    x = 55,795,871,549.85/251,271.71
  6. Step 6: Final answer
    x = 222,053.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.