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Finding the Fourth Proportional to 291,294.88, 437,112.16 and 122,804.90

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Solution

The fourth proportional to 291,294.88, 437,112.16 and 122,804.90 is: 184,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,294.88 : 437,112.16 = 122,804.90 : x
  2. Step 2: Convert to fraction form
    291,294.88/437,112.16 = 122,804.90/x
  3. Step 3: Cross multiply
    291,294.88x = 437,112.16 × 122,804.90
  4. Step 4: Simplify right side
    291,294.88x = 53,679,515,097.58
  5. Step 5: Solve for x
    x = 53,679,515,097.58/291,294.88
  6. Step 6: Final answer
    x = 184,278.95

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Why These Related Problems?

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