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Finding the Fourth Proportional to 231,703.32, 346,966.74 and 194,164.68

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Solution

The fourth proportional to 231,703.32, 346,966.74 and 194,164.68 is: 290,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703.32 : 346,966.74 = 194,164.68 : x
  2. Step 2: Convert to fraction form
    231,703.32/346,966.74 = 194,164.68/x
  3. Step 3: Cross multiply
    231,703.32x = 346,966.74 × 194,164.68
  4. Step 4: Simplify right side
    231,703.32x = 67,368,686,042.74
  5. Step 5: Solve for x
    x = 67,368,686,042.74/231,703.32
  6. Step 6: Final answer
    x = 290,754.08

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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.