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Finding the Fourth Proportional to 150,126.96, 207,150.84 and 83,046

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Solution

The fourth proportional to 150,126.96, 207,150.84 and 83,046 is: 114,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,126.96 : 207,150.84 = 83,046 : x
  2. Step 2: Convert to fraction form
    150,126.96/207,150.84 = 83,046/x
  3. Step 3: Cross multiply
    150,126.96x = 207,150.84 × 83,046
  4. Step 4: Simplify right side
    150,126.96x = 17,203,048,658.64
  5. Step 5: Solve for x
    x = 17,203,048,658.64/150,126.96
  6. Step 6: Final answer
    x = 114,590.00

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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.