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Finding the Fourth Proportional to 319,205.30, 478,419.15 and 141,523.70

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Solution

The fourth proportional to 319,205.30, 478,419.15 and 141,523.70 is: 212,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,205.30 : 478,419.15 = 141,523.70 : x
  2. Step 2: Convert to fraction form
    319,205.30/478,419.15 = 141,523.70/x
  3. Step 3: Cross multiply
    319,205.30x = 478,419.15 × 141,523.70
  4. Step 4: Simplify right side
    319,205.30x = 67,707,648,258.86
  5. Step 5: Solve for x
    x = 67,707,648,258.86/319,205.30
  6. Step 6: Final answer
    x = 212,113.17

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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.