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Finding the Fourth Proportional to 106,903.84, 160,354.03 and 36,783.76

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Solution

The fourth proportional to 106,903.84, 160,354.03 and 36,783.76 is: 55,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.84 : 160,354.03 = 36,783.76 : x
  2. Step 2: Convert to fraction form
    106,903.84/160,354.03 = 36,783.76/x
  3. Step 3: Cross multiply
    106,903.84x = 160,354.03 × 36,783.76
  4. Step 4: Simplify right side
    106,903.84x = 5,898,423,444.74
  5. Step 5: Solve for x
    x = 5,898,423,444.74/106,903.84
  6. Step 6: Final answer
    x = 55,175.04

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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.