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Finding the Fourth Proportional to 191,586.42, 264,397.47 and 106,703.49

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Solution

The fourth proportional to 191,586.42, 264,397.47 and 106,703.49 is: 147,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,586.42 : 264,397.47 = 106,703.49 : x
  2. Step 2: Convert to fraction form
    191,586.42/264,397.47 = 106,703.49/x
  3. Step 3: Cross multiply
    191,586.42x = 264,397.47 × 106,703.49
  4. Step 4: Simplify right side
    191,586.42x = 28,212,132,796.17
  5. Step 5: Solve for x
    x = 28,212,132,796.17/191,586.42
  6. Step 6: Final answer
    x = 147,255.39

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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.