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Finding the Fourth Proportional to 153,611.32, 211,975.50 and 86,539

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Solution

The fourth proportional to 153,611.32, 211,975.50 and 86,539 is: 119,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,611.32 : 211,975.50 = 86,539 : x
  2. Step 2: Convert to fraction form
    153,611.32/211,975.50 = 86,539/x
  3. Step 3: Cross multiply
    153,611.32x = 211,975.50 × 86,539
  4. Step 4: Simplify right side
    153,611.32x = 18,344,147,794.50
  5. Step 5: Solve for x
    x = 18,344,147,794.50/153,611.32
  6. Step 6: Final answer
    x = 119,419.24

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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.