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Finding the Fourth Proportional to 195,098.70, 292,667.46 and 52,946.22

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Solution

The fourth proportional to 195,098.70, 292,667.46 and 52,946.22 is: 79,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,098.70 : 292,667.46 = 52,946.22 : x
  2. Step 2: Convert to fraction form
    195,098.70/292,667.46 = 52,946.22/x
  3. Step 3: Cross multiply
    195,098.70x = 292,667.46 × 52,946.22
  4. Step 4: Simplify right side
    195,098.70x = 15,495,635,724.00
  5. Step 5: Solve for x
    x = 15,495,635,724.00/195,098.70
  6. Step 6: Final answer
    x = 79,424.60

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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.