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Finding the Fourth Proportional to 131,486.44, 197,210.22 and 48,361

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Solution

The fourth proportional to 131,486.44, 197,210.22 and 48,361 is: 72,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,486.44 : 197,210.22 = 48,361 : x
  2. Step 2: Convert to fraction form
    131,486.44/197,210.22 = 48,361/x
  3. Step 3: Cross multiply
    131,486.44x = 197,210.22 × 48,361
  4. Step 4: Simplify right side
    131,486.44x = 9,537,283,449.42
  5. Step 5: Solve for x
    x = 9,537,283,449.42/131,486.44
  6. Step 6: Final answer
    x = 72,534.35

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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.