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Finding the Fourth Proportional to 285,285.75, 427,970.35 and 85,621.93

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Solution

The fourth proportional to 285,285.75, 427,970.35 and 85,621.93 is: 128,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,285.75 : 427,970.35 = 85,621.93 : x
  2. Step 2: Convert to fraction form
    285,285.75/427,970.35 = 85,621.93/x
  3. Step 3: Cross multiply
    285,285.75x = 427,970.35 × 85,621.93
  4. Step 4: Simplify right side
    285,285.75x = 36,643,646,386.88
  5. Step 5: Solve for x
    x = 36,643,646,386.88/285,285.75
  6. Step 6: Final answer
    x = 128,445.42

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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.