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Finding the Fourth Proportional to 193,109.52, 266,491.08 and 117,658.32

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Solution

The fourth proportional to 193,109.52, 266,491.08 and 117,658.32 is: 162,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,109.52 : 266,491.08 = 117,658.32 : x
  2. Step 2: Convert to fraction form
    193,109.52/266,491.08 = 117,658.32/x
  3. Step 3: Cross multiply
    193,109.52x = 266,491.08 × 117,658.32
  4. Step 4: Simplify right side
    193,109.52x = 31,354,892,767.79
  5. Step 5: Solve for x
    x = 31,354,892,767.79/193,109.52
  6. Step 6: Final answer
    x = 162,368.45

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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.