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Finding the Fourth Proportional to 145,498.48, 200,757.69 and 85,057.29

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Solution

The fourth proportional to 145,498.48, 200,757.69 and 85,057.29 is: 117,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,498.48 : 200,757.69 = 85,057.29 : x
  2. Step 2: Convert to fraction form
    145,498.48/200,757.69 = 85,057.29/x
  3. Step 3: Cross multiply
    145,498.48x = 200,757.69 × 85,057.29
  4. Step 4: Simplify right side
    145,498.48x = 17,075,905,058.06
  5. Step 5: Solve for x
    x = 17,075,905,058.06/145,498.48
  6. Step 6: Final answer
    x = 117,361.40

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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.