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Finding the Fourth Proportional to 252,948.09, 349,103.98 and 161,038.02

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Solution

The fourth proportional to 252,948.09, 349,103.98 and 161,038.02 is: 222,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,948.09 : 349,103.98 = 161,038.02 : x
  2. Step 2: Convert to fraction form
    252,948.09/349,103.98 = 161,038.02/x
  3. Step 3: Cross multiply
    252,948.09x = 349,103.98 × 161,038.02
  4. Step 4: Simplify right side
    252,948.09x = 56,219,014,317.92
  5. Step 5: Solve for x
    x = 56,219,014,317.92/252,948.09
  6. Step 6: Final answer
    x = 222,255.14

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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.