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Finding the Fourth Proportional to 519,105.08, 778,652.73 and 164,119.13

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Solution

The fourth proportional to 519,105.08, 778,652.73 and 164,119.13 is: 246,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,105.08 : 778,652.73 = 164,119.13 : x
  2. Step 2: Convert to fraction form
    519,105.08/778,652.73 = 164,119.13/x
  3. Step 3: Cross multiply
    519,105.08x = 778,652.73 × 164,119.13
  4. Step 4: Simplify right side
    519,105.08x = 127,791,804,726.46
  5. Step 5: Solve for x
    x = 127,791,804,726.46/519,105.08
  6. Step 6: Final answer
    x = 246,177.14

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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.