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Finding the Fourth Proportional to 235,438.70, 353,150.15 and 102,318.93

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Solution

The fourth proportional to 235,438.70, 353,150.15 and 102,318.93 is: 153,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,438.70 : 353,150.15 = 102,318.93 : x
  2. Step 2: Convert to fraction form
    235,438.70/353,150.15 = 102,318.93/x
  3. Step 3: Cross multiply
    235,438.70x = 353,150.15 × 102,318.93
  4. Step 4: Simplify right side
    235,438.70x = 36,133,944,965.74
  5. Step 5: Solve for x
    x = 36,133,944,965.74/235,438.70
  6. Step 6: Final answer
    x = 153,474.96

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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.