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Finding the Fourth Proportional to 162,683.84, 224,435.76 and 106,093.28

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Solution

The fourth proportional to 162,683.84, 224,435.76 and 106,093.28 is: 146,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,683.84 : 224,435.76 = 106,093.28 : x
  2. Step 2: Convert to fraction form
    162,683.84/224,435.76 = 106,093.28/x
  3. Step 3: Cross multiply
    162,683.84x = 224,435.76 × 106,093.28
  4. Step 4: Simplify right side
    162,683.84x = 23,811,125,927.69
  5. Step 5: Solve for x
    x = 23,811,125,927.69/162,683.84
  6. Step 6: Final answer
    x = 146,364.42

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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.