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Finding the Fourth Proportional to 256,024.32, 353,318.40 and 148,603.20

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Solution

The fourth proportional to 256,024.32, 353,318.40 and 148,603.20 is: 205,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,024.32 : 353,318.40 = 148,603.20 : x
  2. Step 2: Convert to fraction form
    256,024.32/353,318.40 = 148,603.20/x
  3. Step 3: Cross multiply
    256,024.32x = 353,318.40 × 148,603.20
  4. Step 4: Simplify right side
    256,024.32x = 52,504,244,858.88
  5. Step 5: Solve for x
    x = 52,504,244,858.88/256,024.32
  6. Step 6: Final answer
    x = 205,075.22

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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.