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Finding the Fourth Proportional to 171,794.46, 257,792.54 and 71,946.98

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Solution

The fourth proportional to 171,794.46, 257,792.54 and 71,946.98 is: 107,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,794.46 : 257,792.54 = 71,946.98 : x
  2. Step 2: Convert to fraction form
    171,794.46/257,792.54 = 71,946.98/x
  3. Step 3: Cross multiply
    171,794.46x = 257,792.54 × 71,946.98
  4. Step 4: Simplify right side
    171,794.46x = 18,547,393,070.83
  5. Step 5: Solve for x
    x = 18,547,393,070.83/171,794.46
  6. Step 6: Final answer
    x = 107,962.70

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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.