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Finding the Fourth Proportional to 167,225.74, 230,756.28 and 99,231

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Solution

The fourth proportional to 167,225.74, 230,756.28 and 99,231 is: 136,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,225.74 : 230,756.28 = 99,231 : x
  2. Step 2: Convert to fraction form
    167,225.74/230,756.28 = 99,231/x
  3. Step 3: Cross multiply
    167,225.74x = 230,756.28 × 99,231
  4. Step 4: Simplify right side
    167,225.74x = 22,898,176,420.68
  5. Step 5: Solve for x
    x = 22,898,176,420.68/167,225.74
  6. Step 6: Final answer
    x = 136,929.74

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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.