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Finding the Fourth Proportional to 155,455.44, 214,009.68 and 148,314

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Solution

The fourth proportional to 155,455.44, 214,009.68 and 148,314 is: 204,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,455.44 : 214,009.68 = 148,314 : x
  2. Step 2: Convert to fraction form
    155,455.44/214,009.68 = 148,314/x
  3. Step 3: Cross multiply
    155,455.44x = 214,009.68 × 148,314
  4. Step 4: Simplify right side
    155,455.44x = 31,740,631,679.52
  5. Step 5: Solve for x
    x = 31,740,631,679.52/155,455.44
  6. Step 6: Final answer
    x = 204,178.33

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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.