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Finding the Fourth Proportional to 162,123.84, 243,195.84 and 68,598

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Solution

The fourth proportional to 162,123.84, 243,195.84 and 68,598 is: 102,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,123.84 : 243,195.84 = 68,598 : x
  2. Step 2: Convert to fraction form
    162,123.84/243,195.84 = 68,598/x
  3. Step 3: Cross multiply
    162,123.84x = 243,195.84 × 68,598
  4. Step 4: Simplify right side
    162,123.84x = 16,682,748,232.32
  5. Step 5: Solve for x
    x = 16,682,748,232.32/162,123.84
  6. Step 6: Final answer
    x = 102,901.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.