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Finding the Fourth Proportional to 157,134.34, 235,738.41 and 51,953.32

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Solution

The fourth proportional to 157,134.34, 235,738.41 and 51,953.32 is: 77,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,134.34 : 235,738.41 = 51,953.32 : x
  2. Step 2: Convert to fraction form
    157,134.34/235,738.41 = 51,953.32/x
  3. Step 3: Cross multiply
    157,134.34x = 235,738.41 × 51,953.32
  4. Step 4: Simplify right side
    157,134.34x = 12,247,393,051.02
  5. Step 5: Solve for x
    x = 12,247,393,051.02/157,134.34
  6. Step 6: Final answer
    x = 77,942.18

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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.