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Finding the Fourth Proportional to 235,379.16, 353,031.48 and 102,223.71

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Solution

The fourth proportional to 235,379.16, 353,031.48 and 102,223.71 is: 153,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,379.16 : 353,031.48 = 102,223.71 : x
  2. Step 2: Convert to fraction form
    235,379.16/353,031.48 = 102,223.71/x
  3. Step 3: Cross multiply
    235,379.16x = 353,031.48 × 102,223.71
  4. Step 4: Simplify right side
    235,379.16x = 36,088,187,632.39
  5. Step 5: Solve for x
    x = 36,088,187,632.39/235,379.16
  6. Step 6: Final answer
    x = 153,319.38

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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.