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Finding the Fourth Proportional to 320,103.50, 480,221.54 and 130,564.42

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Solution

The fourth proportional to 320,103.50, 480,221.54 and 130,564.42 is: 195,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,103.50 : 480,221.54 = 130,564.42 : x
  2. Step 2: Convert to fraction form
    320,103.50/480,221.54 = 130,564.42/x
  3. Step 3: Cross multiply
    320,103.50x = 480,221.54 × 130,564.42
  4. Step 4: Simplify right side
    320,103.50x = 62,699,845,967.46
  5. Step 5: Solve for x
    x = 62,699,845,967.46/320,103.50
  6. Step 6: Final answer
    x = 195,873.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.