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Finding the Fourth Proportional to 152,322.75, 210,205.40 and 85,254.75

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Solution

The fourth proportional to 152,322.75, 210,205.40 and 85,254.75 is: 117,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,322.75 : 210,205.40 = 85,254.75 : x
  2. Step 2: Convert to fraction form
    152,322.75/210,205.40 = 85,254.75/x
  3. Step 3: Cross multiply
    152,322.75x = 210,205.40 × 85,254.75
  4. Step 4: Simplify right side
    152,322.75x = 17,921,008,399.38
  5. Step 5: Solve for x
    x = 17,921,008,399.38/152,322.75
  6. Step 6: Final answer
    x = 117,651.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.