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Finding the Fourth Proportional to 164,382, 226,848.80 and 88,932.12

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Solution

The fourth proportional to 164,382, 226,848.80 and 88,932.12 is: 122,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,382 : 226,848.80 = 88,932.12 : x
  2. Step 2: Convert to fraction form
    164,382/226,848.80 = 88,932.12/x
  3. Step 3: Cross multiply
    164,382x = 226,848.80 × 88,932.12
  4. Step 4: Simplify right side
    164,382x = 20,174,144,703.46
  5. Step 5: Solve for x
    x = 20,174,144,703.46/164,382
  6. Step 6: Final answer
    x = 122,727.21

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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.