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Finding the Fourth Proportional to 150,932, 208,066.74 and 105,468.82

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Solution

The fourth proportional to 150,932, 208,066.74 and 105,468.82 is: 145,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,932 : 208,066.74 = 105,468.82 : x
  2. Step 2: Convert to fraction form
    150,932/208,066.74 = 105,468.82/x
  3. Step 3: Cross multiply
    150,932x = 208,066.74 × 105,468.82
  4. Step 4: Simplify right side
    150,932x = 21,944,553,549.05
  5. Step 5: Solve for x
    x = 21,944,553,549.05/150,932
  6. Step 6: Final answer
    x = 145,393.64

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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.