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Finding the Fourth Proportional to 150,921, 208,277.46 and 83,853

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Solution

The fourth proportional to 150,921, 208,277.46 and 83,853 is: 115,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,921 : 208,277.46 = 83,853 : x
  2. Step 2: Convert to fraction form
    150,921/208,277.46 = 83,853/x
  3. Step 3: Cross multiply
    150,921x = 208,277.46 × 83,853
  4. Step 4: Simplify right side
    150,921x = 17,464,689,853.38
  5. Step 5: Solve for x
    x = 17,464,689,853.38/150,921
  6. Step 6: Final answer
    x = 115,720.74

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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.