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Finding the Fourth Proportional to 315,994.23, 473,894.94 and 166,153.23

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Solution

The fourth proportional to 315,994.23, 473,894.94 and 166,153.23 is: 249,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,994.23 : 473,894.94 = 166,153.23 : x
  2. Step 2: Convert to fraction form
    315,994.23/473,894.94 = 166,153.23/x
  3. Step 3: Cross multiply
    315,994.23x = 473,894.94 × 166,153.23
  4. Step 4: Simplify right side
    315,994.23x = 78,739,172,592.18
  5. Step 5: Solve for x
    x = 78,739,172,592.18/315,994.23
  6. Step 6: Final answer
    x = 249,179.15

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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.