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Finding the Fourth Proportional to 157,072.94, 233,832.88 and 156,138.78

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Solution

The fourth proportional to 157,072.94, 233,832.88 and 156,138.78 is: 232,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,072.94 : 233,832.88 = 156,138.78 : x
  2. Step 2: Convert to fraction form
    157,072.94/233,832.88 = 156,138.78/x
  3. Step 3: Cross multiply
    157,072.94x = 233,832.88 × 156,138.78
  4. Step 4: Simplify right side
    157,072.94x = 36,510,380,607.09
  5. Step 5: Solve for x
    x = 36,510,380,607.09/157,072.94
  6. Step 6: Final answer
    x = 232,442.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.