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Finding the Fourth Proportional to 151,011.36, 208,398.24 and 83,031.12

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Solution

The fourth proportional to 151,011.36, 208,398.24 and 83,031.12 is: 114,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,011.36 : 208,398.24 = 83,031.12 : x
  2. Step 2: Convert to fraction form
    151,011.36/208,398.24 = 83,031.12/x
  3. Step 3: Cross multiply
    151,011.36x = 208,398.24 × 83,031.12
  4. Step 4: Simplify right side
    151,011.36x = 17,303,539,273.23
  5. Step 5: Solve for x
    x = 17,303,539,273.23/151,011.36
  6. Step 6: Final answer
    x = 114,584.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.