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Finding the Fourth Proportional to 164,655.61, 227,212.19 and 100,115.88

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Solution

The fourth proportional to 164,655.61, 227,212.19 and 100,115.88 is: 138,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,655.61 : 227,212.19 = 100,115.88 : x
  2. Step 2: Convert to fraction form
    164,655.61/227,212.19 = 100,115.88/x
  3. Step 3: Cross multiply
    164,655.61x = 227,212.19 × 100,115.88
  4. Step 4: Simplify right side
    164,655.61x = 22,747,547,848.00
  5. Step 5: Solve for x
    x = 22,747,547,848.00/164,655.61
  6. Step 6: Final answer
    x = 138,152.28

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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.