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Finding the Fourth Proportional to 162,905.94, 224,809.88 and 99,243.77

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Solution

The fourth proportional to 162,905.94, 224,809.88 and 99,243.77 is: 136,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,905.94 : 224,809.88 = 99,243.77 : x
  2. Step 2: Convert to fraction form
    162,905.94/224,809.88 = 99,243.77/x
  3. Step 3: Cross multiply
    162,905.94x = 224,809.88 × 99,243.77
  4. Step 4: Simplify right side
    162,905.94x = 22,310,978,404.18
  5. Step 5: Solve for x
    x = 22,310,978,404.18/162,905.94
  6. Step 6: Final answer
    x = 136,956.20

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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.