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Finding the Fourth Proportional to 162,949.41, 224,866.34 and 90,351.95

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Solution

The fourth proportional to 162,949.41, 224,866.34 and 90,351.95 is: 124,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,949.41 : 224,866.34 = 90,351.95 : x
  2. Step 2: Convert to fraction form
    162,949.41/224,866.34 = 90,351.95/x
  3. Step 3: Cross multiply
    162,949.41x = 224,866.34 × 90,351.95
  4. Step 4: Simplify right side
    162,949.41x = 20,317,111,184.03
  5. Step 5: Solve for x
    x = 20,317,111,184.03/162,949.41
  6. Step 6: Final answer
    x = 124,683.55

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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.