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Finding the Fourth Proportional to 191,594.88, 264,398.31 and 106,712.55

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Solution

The fourth proportional to 191,594.88, 264,398.31 and 106,712.55 is: 147,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,594.88 : 264,398.31 = 106,712.55 : x
  2. Step 2: Convert to fraction form
    191,594.88/264,398.31 = 106,712.55/x
  3. Step 3: Cross multiply
    191,594.88x = 264,398.31 × 106,712.55
  4. Step 4: Simplify right side
    191,594.88x = 28,214,617,875.79
  5. Step 5: Solve for x
    x = 28,214,617,875.79/191,594.88
  6. Step 6: Final answer
    x = 147,261.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.