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Finding the Fourth Proportional to 235,473.81, 353,222.93 and 77,714.56

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Solution

The fourth proportional to 235,473.81, 353,222.93 and 77,714.56 is: 116,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,473.81 : 353,222.93 = 77,714.56 : x
  2. Step 2: Convert to fraction form
    235,473.81/353,222.93 = 77,714.56/x
  3. Step 3: Cross multiply
    235,473.81x = 353,222.93 × 77,714.56
  4. Step 4: Simplify right side
    235,473.81x = 27,450,564,586.86
  5. Step 5: Solve for x
    x = 27,450,564,586.86/235,473.81
  6. Step 6: Final answer
    x = 116,575.87

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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.