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Finding the Fourth Proportional to 119,202.18, 178,803.06 and 30,455.70

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Solution

The fourth proportional to 119,202.18, 178,803.06 and 30,455.70 is: 45,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,202.18 : 178,803.06 = 30,455.70 : x
  2. Step 2: Convert to fraction form
    119,202.18/178,803.06 = 30,455.70/x
  3. Step 3: Cross multiply
    119,202.18x = 178,803.06 × 30,455.70
  4. Step 4: Simplify right side
    119,202.18x = 5,445,572,354.44
  5. Step 5: Solve for x
    x = 5,445,572,354.44/119,202.18
  6. Step 6: Final answer
    x = 45,683.50

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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.