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Finding the Fourth Proportional to 224,538.64, 309,870.82 and 122,570.14

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Solution

The fourth proportional to 224,538.64, 309,870.82 and 122,570.14 is: 169,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.64 : 309,870.82 = 122,570.14 : x
  2. Step 2: Convert to fraction form
    224,538.64/309,870.82 = 122,570.14/x
  3. Step 3: Cross multiply
    224,538.64x = 309,870.82 × 122,570.14
  4. Step 4: Simplify right side
    224,538.64x = 37,980,909,789.31
  5. Step 5: Solve for x
    x = 37,980,909,789.31/224,538.64
  6. Step 6: Final answer
    x = 169,150.89

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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.