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Finding the Fourth Proportional to 151,292.46, 208,775.32 and 83,296.52

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Solution

The fourth proportional to 151,292.46, 208,775.32 and 83,296.52 is: 114,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,292.46 : 208,775.32 = 83,296.52 : x
  2. Step 2: Convert to fraction form
    151,292.46/208,775.32 = 83,296.52/x
  3. Step 3: Cross multiply
    151,292.46x = 208,775.32 × 83,296.52
  4. Step 4: Simplify right side
    151,292.46x = 17,390,257,617.22
  5. Step 5: Solve for x
    x = 17,390,257,617.22/151,292.46
  6. Step 6: Final answer
    x = 114,944.64

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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.