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Finding the Fourth Proportional to 294,097.22, 441,134.76 and 83,735.10

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Solution

The fourth proportional to 294,097.22, 441,134.76 and 83,735.10 is: 125,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,097.22 : 441,134.76 = 83,735.10 : x
  2. Step 2: Convert to fraction form
    294,097.22/441,134.76 = 83,735.10/x
  3. Step 3: Cross multiply
    294,097.22x = 441,134.76 × 83,735.10
  4. Step 4: Simplify right side
    294,097.22x = 36,938,463,242.08
  5. Step 5: Solve for x
    x = 36,938,463,242.08/294,097.22
  6. Step 6: Final answer
    x = 125,599.50

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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.