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Finding the Fourth Proportional to 162,164.84, 243,270.49 and 49,854.45

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Solution

The fourth proportional to 162,164.84, 243,270.49 and 49,854.45 is: 74,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,164.84 : 243,270.49 = 49,854.45 : x
  2. Step 2: Convert to fraction form
    162,164.84/243,270.49 = 49,854.45/x
  3. Step 3: Cross multiply
    162,164.84x = 243,270.49 × 49,854.45
  4. Step 4: Simplify right side
    162,164.84x = 12,128,117,361.29
  5. Step 5: Solve for x
    x = 12,128,117,361.29/162,164.84
  6. Step 6: Final answer
    x = 74,788.82

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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.