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Finding the Fourth Proportional to 294,098.92, 441,189.69 and 116,623.87

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Solution

The fourth proportional to 294,098.92, 441,189.69 and 116,623.87 is: 174,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,098.92 : 441,189.69 = 116,623.87 : x
  2. Step 2: Convert to fraction form
    294,098.92/441,189.69 = 116,623.87/x
  3. Step 3: Cross multiply
    294,098.92x = 441,189.69 × 116,623.87
  4. Step 4: Simplify right side
    294,098.92x = 51,453,249,051.90
  5. Step 5: Solve for x
    x = 51,453,249,051.90/294,098.92
  6. Step 6: Final answer
    x = 174,952.19

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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.