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Finding the Fourth Proportional to 519,100.97, 778,646.55 and 164,114.96

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Solution

The fourth proportional to 519,100.97, 778,646.55 and 164,114.96 is: 246,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,100.97 : 778,646.55 = 164,114.96 : x
  2. Step 2: Convert to fraction form
    519,100.97/778,646.55 = 164,114.96/x
  3. Step 3: Cross multiply
    519,100.97x = 778,646.55 × 164,114.96
  4. Step 4: Simplify right side
    519,100.97x = 127,787,547,407.39
  5. Step 5: Solve for x
    x = 127,787,547,407.39/519,100.97
  6. Step 6: Final answer
    x = 246,170.89

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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.