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Finding the Fourth Proportional to 157,532.46, 236,295.45 and 52,352.46

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Solution

The fourth proportional to 157,532.46, 236,295.45 and 52,352.46 is: 78,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,532.46 : 236,295.45 = 52,352.46 : x
  2. Step 2: Convert to fraction form
    157,532.46/236,295.45 = 52,352.46/x
  3. Step 3: Cross multiply
    157,532.46x = 236,295.45 × 52,352.46
  4. Step 4: Simplify right side
    157,532.46x = 12,370,648,094.31
  5. Step 5: Solve for x
    x = 12,370,648,094.31/157,532.46
  6. Step 6: Final answer
    x = 78,527.61

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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.