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Finding the Fourth Proportional to 194,805.30, 292,207.95 and 162,000.30

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Solution

The fourth proportional to 194,805.30, 292,207.95 and 162,000.30 is: 243,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.30 : 292,207.95 = 162,000.30 : x
  2. Step 2: Convert to fraction form
    194,805.30/292,207.95 = 162,000.30/x
  3. Step 3: Cross multiply
    194,805.30x = 292,207.95 × 162,000.30
  4. Step 4: Simplify right side
    194,805.30x = 47,337,775,562.39
  5. Step 5: Solve for x
    x = 47,337,775,562.39/194,805.30
  6. Step 6: Final answer
    x = 243,000.45

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1.5x scale

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.