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Finding the Fourth Proportional to 286,143.20, 429,409.20 and 159,783.20

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Solution

The fourth proportional to 286,143.20, 429,409.20 and 159,783.20 is: 239,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,143.20 : 429,409.20 = 159,783.20 : x
  2. Step 2: Convert to fraction form
    286,143.20/429,409.20 = 159,783.20/x
  3. Step 3: Cross multiply
    286,143.20x = 429,409.20 × 159,783.20
  4. Step 4: Simplify right side
    286,143.20x = 68,612,376,085.44
  5. Step 5: Solve for x
    x = 68,612,376,085.44/286,143.20
  6. Step 6: Final answer
    x = 239,783.35

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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.