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Finding the Fourth Proportional to 195,295.40, 292,943.09 and 185,322.68

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Solution

The fourth proportional to 195,295.40, 292,943.09 and 185,322.68 is: 277,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,295.40 : 292,943.09 = 185,322.68 : x
  2. Step 2: Convert to fraction form
    195,295.40/292,943.09 = 185,322.68/x
  3. Step 3: Cross multiply
    195,295.40x = 292,943.09 × 185,322.68
  4. Step 4: Simplify right side
    195,295.40x = 54,288,997,061.57
  5. Step 5: Solve for x
    x = 54,288,997,061.57/195,295.40
  6. Step 6: Final answer
    x = 277,984.01

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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.