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Finding the Fourth Proportional to 152,807.50, 210,875.97 and 85,739.50

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Solution

The fourth proportional to 152,807.50, 210,875.97 and 85,739.50 is: 118,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,807.50 : 210,875.97 = 85,739.50 : x
  2. Step 2: Convert to fraction form
    152,807.50/210,875.97 = 85,739.50/x
  3. Step 3: Cross multiply
    152,807.50x = 210,875.97 × 85,739.50
  4. Step 4: Simplify right side
    152,807.50x = 18,080,400,229.82
  5. Step 5: Solve for x
    x = 18,080,400,229.82/152,807.50
  6. Step 6: Final answer
    x = 118,321.42

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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.