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Finding the Fourth Proportional to 537,392.25, 806,095.29 and 158,226.77

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Solution

The fourth proportional to 537,392.25, 806,095.29 and 158,226.77 is: 237,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,392.25 : 806,095.29 = 158,226.77 : x
  2. Step 2: Convert to fraction form
    537,392.25/806,095.29 = 158,226.77/x
  3. Step 3: Cross multiply
    537,392.25x = 806,095.29 × 158,226.77
  4. Step 4: Simplify right side
    537,392.25x = 127,545,856,657.50
  5. Step 5: Solve for x
    x = 127,545,856,657.50/537,392.25
  6. Step 6: Final answer
    x = 237,342.20

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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.