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Finding the Fourth Proportional to 153,284.10, 211,538.97 and 86,216.10

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Solution

The fourth proportional to 153,284.10, 211,538.97 and 86,216.10 is: 118,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,284.10 : 211,538.97 = 86,216.10 : x
  2. Step 2: Convert to fraction form
    153,284.10/211,538.97 = 86,216.10/x
  3. Step 3: Cross multiply
    153,284.10x = 211,538.97 × 86,216.10
  4. Step 4: Simplify right side
    153,284.10x = 18,238,064,991.42
  5. Step 5: Solve for x
    x = 18,238,064,991.42/153,284.10
  6. Step 6: Final answer
    x = 118,982.11

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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.