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Finding the Fourth Proportional to 294,089.08, 441,133.54 and 83,727.02

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Solution

The fourth proportional to 294,089.08, 441,133.54 and 83,727.02 is: 125,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,089.08 : 441,133.54 = 83,727.02 : x
  2. Step 2: Convert to fraction form
    294,089.08/441,133.54 = 83,727.02/x
  3. Step 3: Cross multiply
    294,089.08x = 441,133.54 × 83,727.02
  4. Step 4: Simplify right side
    294,089.08x = 36,934,795,609.36
  5. Step 5: Solve for x
    x = 36,934,795,609.36/294,089.08
  6. Step 6: Final answer
    x = 125,590.50

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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.