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Finding the Fourth Proportional to 235,365.85, 352,849.82 and 102,145.96

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Solution

The fourth proportional to 235,365.85, 352,849.82 and 102,145.96 is: 153,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,365.85 : 352,849.82 = 102,145.96 : x
  2. Step 2: Convert to fraction form
    235,365.85/352,849.82 = 102,145.96/x
  3. Step 3: Cross multiply
    235,365.85x = 352,849.82 × 102,145.96
  4. Step 4: Simplify right side
    235,365.85x = 36,042,184,737.22
  5. Step 5: Solve for x
    x = 36,042,184,737.22/235,365.85
  6. Step 6: Final answer
    x = 153,132.60

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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.