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Finding the Fourth Proportional to 167,957.74, 231,706.74 and 113,492.32

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Solution

The fourth proportional to 167,957.74, 231,706.74 and 113,492.32 is: 156,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,957.74 : 231,706.74 = 113,492.32 : x
  2. Step 2: Convert to fraction form
    167,957.74/231,706.74 = 113,492.32/x
  3. Step 3: Cross multiply
    167,957.74x = 231,706.74 × 113,492.32
  4. Step 4: Simplify right side
    167,957.74x = 26,296,935,482.24
  5. Step 5: Solve for x
    x = 26,296,935,482.24/167,957.74
  6. Step 6: Final answer
    x = 156,568.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.