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Finding the Fourth Proportional to 102,152, 153,279.84 and 46,761.92

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Solution

The fourth proportional to 102,152, 153,279.84 and 46,761.92 is: 70,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,152 : 153,279.84 = 46,761.92 : x
  2. Step 2: Convert to fraction form
    102,152/153,279.84 = 46,761.92/x
  3. Step 3: Cross multiply
    102,152x = 153,279.84 × 46,761.92
  4. Step 4: Simplify right side
    102,152x = 7,167,659,615.69
  5. Step 5: Solve for x
    x = 7,167,659,615.69/102,152
  6. Step 6: Final answer
    x = 70,166.61

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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.