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Finding the Fourth Proportional to 119,094.60, 178,506.01 and 47,971.70

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Solution

The fourth proportional to 119,094.60, 178,506.01 and 47,971.70 is: 71,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,094.60 : 178,506.01 = 47,971.70 : x
  2. Step 2: Convert to fraction form
    119,094.60/178,506.01 = 47,971.70/x
  3. Step 3: Cross multiply
    119,094.60x = 178,506.01 × 47,971.70
  4. Step 4: Simplify right side
    119,094.60x = 8,563,235,627.53
  5. Step 5: Solve for x
    x = 8,563,235,627.53/119,094.60
  6. Step 6: Final answer
    x = 71,902.80

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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.