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Finding the Fourth Proportional to 285,861.72, 428,792.58 and 98,771.16

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Solution

The fourth proportional to 285,861.72, 428,792.58 and 98,771.16 is: 148,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,861.72 : 428,792.58 = 98,771.16 : x
  2. Step 2: Convert to fraction form
    285,861.72/428,792.58 = 98,771.16/x
  3. Step 3: Cross multiply
    285,861.72x = 428,792.58 × 98,771.16
  4. Step 4: Simplify right side
    285,861.72x = 42,352,340,525.99
  5. Step 5: Solve for x
    x = 42,352,340,525.99/285,861.72
  6. Step 6: Final answer
    x = 148,156.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.