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Finding the Fourth Proportional to 280,915.92, 421,386.19 and 81,256.50

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Solution

The fourth proportional to 280,915.92, 421,386.19 and 81,256.50 is: 121,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,915.92 : 421,386.19 = 81,256.50 : x
  2. Step 2: Convert to fraction form
    280,915.92/421,386.19 = 81,256.50/x
  3. Step 3: Cross multiply
    280,915.92x = 421,386.19 × 81,256.50
  4. Step 4: Simplify right side
    280,915.92x = 34,240,366,744.59
  5. Step 5: Solve for x
    x = 34,240,366,744.59/280,915.92
  6. Step 6: Final answer
    x = 121,888.31

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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.