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Finding the Fourth Proportional to 549,103.05, 823,461.54 and 164,737.29

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Solution

The fourth proportional to 549,103.05, 823,461.54 and 164,737.29 is: 247,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,103.05 : 823,461.54 = 164,737.29 : x
  2. Step 2: Convert to fraction form
    549,103.05/823,461.54 = 164,737.29/x
  3. Step 3: Cross multiply
    549,103.05x = 823,461.54 × 164,737.29
  4. Step 4: Simplify right side
    549,103.05x = 135,654,822,518.83
  5. Step 5: Solve for x
    x = 135,654,822,518.83/549,103.05
  6. Step 6: Final answer
    x = 247,048.02

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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.