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Finding the Fourth Proportional to 150,264, 207,370.80 and 83,196

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Solution

The fourth proportional to 150,264, 207,370.80 and 83,196 is: 114,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264 : 207,370.80 = 83,196 : x
  2. Step 2: Convert to fraction form
    150,264/207,370.80 = 83,196/x
  3. Step 3: Cross multiply
    150,264x = 207,370.80 × 83,196
  4. Step 4: Simplify right side
    150,264x = 17,252,421,076.80
  5. Step 5: Solve for x
    x = 17,252,421,076.80/150,264
  6. Step 6: Final answer
    x = 114,814.07

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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.