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Finding the Fourth Proportional to 260,084.40, 390,029.40 and 102,280.20

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Solution

The fourth proportional to 260,084.40, 390,029.40 and 102,280.20 is: 153,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084.40 : 390,029.40 = 102,280.20 : x
  2. Step 2: Convert to fraction form
    260,084.40/390,029.40 = 102,280.20/x
  3. Step 3: Cross multiply
    260,084.40x = 390,029.40 × 102,280.20
  4. Step 4: Simplify right side
    260,084.40x = 39,892,285,037.88
  5. Step 5: Solve for x
    x = 39,892,285,037.88/260,084.40
  6. Step 6: Final answer
    x = 153,382.08

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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.