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Finding the Fourth Proportional to 162,681.84, 224,433 and 106,091.28

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Solution

The fourth proportional to 162,681.84, 224,433 and 106,091.28 is: 146,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,681.84 : 224,433 = 106,091.28 : x
  2. Step 2: Convert to fraction form
    162,681.84/224,433 = 106,091.28/x
  3. Step 3: Cross multiply
    162,681.84x = 224,433 × 106,091.28
  4. Step 4: Simplify right side
    162,681.84x = 23,810,384,244.24
  5. Step 5: Solve for x
    x = 23,810,384,244.24/162,681.84
  6. Step 6: Final answer
    x = 146,361.66

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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.