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Finding the Fourth Proportional to 320,104.50, 480,223.04 and 130,565.42

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Solution

The fourth proportional to 320,104.50, 480,223.04 and 130,565.42 is: 195,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,104.50 : 480,223.04 = 130,565.42 : x
  2. Step 2: Convert to fraction form
    320,104.50/480,223.04 = 130,565.42/x
  3. Step 3: Cross multiply
    320,104.50x = 480,223.04 × 130,565.42
  4. Step 4: Simplify right side
    320,104.50x = 62,700,522,911.28
  5. Step 5: Solve for x
    x = 62,700,522,911.28/320,104.50
  6. Step 6: Final answer
    x = 195,875.17

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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.