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Finding the Fourth Proportional to 162,483.62, 224,283.77 and 111,664.58

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Solution

The fourth proportional to 162,483.62, 224,283.77 and 111,664.58 is: 154,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,483.62 : 224,283.77 = 111,664.58 : x
  2. Step 2: Convert to fraction form
    162,483.62/224,283.77 = 111,664.58/x
  3. Step 3: Cross multiply
    162,483.62x = 224,283.77 × 111,664.58
  4. Step 4: Simplify right side
    162,483.62x = 25,044,551,298.12
  5. Step 5: Solve for x
    x = 25,044,551,298.12/162,483.62
  6. Step 6: Final answer
    x = 154,135.85

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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.