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Finding the Fourth Proportional to 235,710.22, 353,565.34 and 194,069.74

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Solution

The fourth proportional to 235,710.22, 353,565.34 and 194,069.74 is: 291,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,710.22 : 353,565.34 = 194,069.74 : x
  2. Step 2: Convert to fraction form
    235,710.22/353,565.34 = 194,069.74/x
  3. Step 3: Cross multiply
    235,710.22x = 353,565.34 × 194,069.74
  4. Step 4: Simplify right side
    235,710.22x = 68,616,333,606.81
  5. Step 5: Solve for x
    x = 68,616,333,606.81/235,710.22
  6. Step 6: Final answer
    x = 291,104.62

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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.