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Finding the Fourth Proportional to 164,322.66, 226,765.27 and 88,871.16

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Solution

The fourth proportional to 164,322.66, 226,765.27 and 88,871.16 is: 122,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,322.66 : 226,765.27 = 88,871.16 : x
  2. Step 2: Convert to fraction form
    164,322.66/226,765.27 = 88,871.16/x
  3. Step 3: Cross multiply
    164,322.66x = 226,765.27 × 88,871.16
  4. Step 4: Simplify right side
    164,322.66x = 20,152,891,803.52
  5. Step 5: Solve for x
    x = 20,152,891,803.52/164,322.66
  6. Step 6: Final answer
    x = 122,642.20

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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.