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Finding the Fourth Proportional to 194,820.90, 292,231.35 and 159,800.10

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Solution

The fourth proportional to 194,820.90, 292,231.35 and 159,800.10 is: 239,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,820.90 : 292,231.35 = 159,800.10 : x
  2. Step 2: Convert to fraction form
    194,820.90/292,231.35 = 159,800.10/x
  3. Step 3: Cross multiply
    194,820.90x = 292,231.35 × 159,800.10
  4. Step 4: Simplify right side
    194,820.90x = 46,698,598,953.14
  5. Step 5: Solve for x
    x = 46,698,598,953.14/194,820.90
  6. Step 6: Final answer
    x = 239,700.15

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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.