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Finding the Fourth Proportional to 119,308.50, 178,963.83 and 36,202.50

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Solution

The fourth proportional to 119,308.50, 178,963.83 and 36,202.50 is: 54,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,308.50 : 178,963.83 = 36,202.50 : x
  2. Step 2: Convert to fraction form
    119,308.50/178,963.83 = 36,202.50/x
  3. Step 3: Cross multiply
    119,308.50x = 178,963.83 × 36,202.50
  4. Step 4: Simplify right side
    119,308.50x = 6,478,938,055.58
  5. Step 5: Solve for x
    x = 6,478,938,055.58/119,308.50
  6. Step 6: Final answer
    x = 54,304.08

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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.