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Finding the Fourth Proportional to 291,294.06, 436,988.07 and 86,149.50

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Solution

The fourth proportional to 291,294.06, 436,988.07 and 86,149.50 is: 129,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,294.06 : 436,988.07 = 86,149.50 : x
  2. Step 2: Convert to fraction form
    291,294.06/436,988.07 = 86,149.50/x
  3. Step 3: Cross multiply
    291,294.06x = 436,988.07 × 86,149.50
  4. Step 4: Simplify right side
    291,294.06x = 37,646,303,736.47
  5. Step 5: Solve for x
    x = 37,646,303,736.47/291,294.06
  6. Step 6: Final answer
    x = 129,238.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.