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Finding the Fourth Proportional to 154,492.84, 231,764.37 and 47,851.89

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Solution

The fourth proportional to 154,492.84, 231,764.37 and 47,851.89 is: 71,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492.84 : 231,764.37 = 47,851.89 : x
  2. Step 2: Convert to fraction form
    154,492.84/231,764.37 = 47,851.89/x
  3. Step 3: Cross multiply
    154,492.84x = 231,764.37 × 47,851.89
  4. Step 4: Simplify right side
    154,492.84x = 11,090,363,139.16
  5. Step 5: Solve for x
    x = 11,090,363,139.16/154,492.84
  6. Step 6: Final answer
    x = 71,785.61

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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.