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Finding the Fourth Proportional to 253,782.24, 380,258.06 and 153,638.90

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Solution

The fourth proportional to 253,782.24, 380,258.06 and 153,638.90 is: 230,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,782.24 : 380,258.06 = 153,638.90 : x
  2. Step 2: Convert to fraction form
    253,782.24/380,258.06 = 153,638.90/x
  3. Step 3: Cross multiply
    253,782.24x = 380,258.06 × 153,638.90
  4. Step 4: Simplify right side
    253,782.24x = 58,422,430,054.53
  5. Step 5: Solve for x
    x = 58,422,430,054.53/253,782.24
  6. Step 6: Final answer
    x = 230,206.93

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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.