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Finding the Fourth Proportional to 191,533.52, 264,320.52 and 106,658.48

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Solution

The fourth proportional to 191,533.52, 264,320.52 and 106,658.48 is: 147,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,533.52 : 264,320.52 = 106,658.48 : x
  2. Step 2: Convert to fraction form
    191,533.52/264,320.52 = 106,658.48/x
  3. Step 3: Cross multiply
    191,533.52x = 264,320.52 × 106,658.48
  4. Step 4: Simplify right side
    191,533.52x = 28,192,024,896.01
  5. Step 5: Solve for x
    x = 28,192,024,896.01/191,533.52
  6. Step 6: Final answer
    x = 147,191.08

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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.