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Finding the Fourth Proportional to 164,885.83, 227,756.00 and 121,952.59

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Solution

The fourth proportional to 164,885.83, 227,756.00 and 121,952.59 is: 168,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,885.83 : 227,756.00 = 121,952.59 : x
  2. Step 2: Convert to fraction form
    164,885.83/227,756.00 = 121,952.59/x
  3. Step 3: Cross multiply
    164,885.83x = 227,756.00 × 121,952.59
  4. Step 4: Simplify right side
    164,885.83x = 27,775,433,823.53
  5. Step 5: Solve for x
    x = 27,775,433,823.53/164,885.83
  6. Step 6: Final answer
    x = 168,452.52

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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.