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Finding the Fourth Proportional to 153,584.12, 211,947.12 and 85,605.46

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Solution

The fourth proportional to 153,584.12, 211,947.12 and 85,605.46 is: 118,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,584.12 : 211,947.12 = 85,605.46 : x
  2. Step 2: Convert to fraction form
    153,584.12/211,947.12 = 85,605.46/x
  3. Step 3: Cross multiply
    153,584.12x = 211,947.12 × 85,605.46
  4. Step 4: Simplify right side
    153,584.12x = 18,143,830,968.21
  5. Step 5: Solve for x
    x = 18,143,830,968.21/153,584.12
  6. Step 6: Final answer
    x = 118,136.12

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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.