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Finding the Fourth Proportional to 284,730.96, 427,135.68 and 97,718.16

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Solution

The fourth proportional to 284,730.96, 427,135.68 and 97,718.16 is: 146,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,730.96 : 427,135.68 = 97,718.16 : x
  2. Step 2: Convert to fraction form
    284,730.96/427,135.68 = 97,718.16/x
  3. Step 3: Cross multiply
    284,730.96x = 427,135.68 × 97,718.16
  4. Step 4: Simplify right side
    284,730.96x = 41,738,912,719.95
  5. Step 5: Solve for x
    x = 41,738,912,719.95/284,730.96
  6. Step 6: Final answer
    x = 146,590.71

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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.