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Finding the Fourth Proportional to 219,028.24, 302,258.56 and 123,534.64

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Solution

The fourth proportional to 219,028.24, 302,258.56 and 123,534.64 is: 170,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,028.24 : 302,258.56 = 123,534.64 : x
  2. Step 2: Convert to fraction form
    219,028.24/302,258.56 = 123,534.64/x
  3. Step 3: Cross multiply
    219,028.24x = 302,258.56 × 123,534.64
  4. Step 4: Simplify right side
    219,028.24x = 37,339,402,396.52
  5. Step 5: Solve for x
    x = 37,339,402,396.52/219,028.24
  6. Step 6: Final answer
    x = 170,477.57

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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.