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Finding the Fourth Proportional to 187,830.30, 282,004.65 and 148,431.90

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Solution

The fourth proportional to 187,830.30, 282,004.65 and 148,431.90 is: 222,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,830.30 : 282,004.65 = 148,431.90 : x
  2. Step 2: Convert to fraction form
    187,830.30/282,004.65 = 148,431.90/x
  3. Step 3: Cross multiply
    187,830.30x = 282,004.65 × 148,431.90
  4. Step 4: Simplify right side
    187,830.30x = 41,858,486,008.34
  5. Step 5: Solve for x
    x = 41,858,486,008.34/187,830.30
  6. Step 6: Final answer
    x = 222,852.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.