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Finding the Fourth Proportional to 176,001.60, 264,002.40 and 146,971.20

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Solution

The fourth proportional to 176,001.60, 264,002.40 and 146,971.20 is: 220,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,001.60 : 264,002.40 = 146,971.20 : x
  2. Step 2: Convert to fraction form
    176,001.60/264,002.40 = 146,971.20/x
  3. Step 3: Cross multiply
    176,001.60x = 264,002.40 × 146,971.20
  4. Step 4: Simplify right side
    176,001.60x = 38,800,749,530.88
  5. Step 5: Solve for x
    x = 38,800,749,530.88/176,001.60
  6. Step 6: Final answer
    x = 220,456.80

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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.