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Finding the Fourth Proportional to 152,542.98, 210,499.29 and 85,462.02

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Solution

The fourth proportional to 152,542.98, 210,499.29 and 85,462.02 is: 117,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,542.98 : 210,499.29 = 85,462.02 : x
  2. Step 2: Convert to fraction form
    152,542.98/210,499.29 = 85,462.02/x
  3. Step 3: Cross multiply
    152,542.98x = 210,499.29 × 85,462.02
  4. Step 4: Simplify right side
    152,542.98x = 17,989,694,531.97
  5. Step 5: Solve for x
    x = 17,989,694,531.97/152,542.98
  6. Step 6: Final answer
    x = 117,931.97

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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.