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Finding the Fourth Proportional to 153,980.70, 230,971.05 and 146,763.60

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Solution

The fourth proportional to 153,980.70, 230,971.05 and 146,763.60 is: 220,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,980.70 : 230,971.05 = 146,763.60 : x
  2. Step 2: Convert to fraction form
    153,980.70/230,971.05 = 146,763.60/x
  3. Step 3: Cross multiply
    153,980.70x = 230,971.05 × 146,763.60
  4. Step 4: Simplify right side
    153,980.70x = 33,898,142,793.78
  5. Step 5: Solve for x
    x = 33,898,142,793.78/153,980.70
  6. Step 6: Final answer
    x = 220,145.40

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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.