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Finding the Fourth Proportional to 192,490, 288,730.14 and 52,244.98

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Solution

The fourth proportional to 192,490, 288,730.14 and 52,244.98 is: 78,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,490 : 288,730.14 = 52,244.98 : x
  2. Step 2: Convert to fraction form
    192,490/288,730.14 = 52,244.98/x
  3. Step 3: Cross multiply
    192,490x = 288,730.14 × 52,244.98
  4. Step 4: Simplify right side
    192,490x = 15,084,700,389.70
  5. Step 5: Solve for x
    x = 15,084,700,389.70/192,490
  6. Step 6: Final answer
    x = 78,366.15

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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.