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Finding the Fourth Proportional to 254,624.18, 351,235.16 and 158,964.80

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Solution

The fourth proportional to 254,624.18, 351,235.16 and 158,964.80 is: 219,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,624.18 : 351,235.16 = 158,964.80 : x
  2. Step 2: Convert to fraction form
    254,624.18/351,235.16 = 158,964.80/x
  3. Step 3: Cross multiply
    254,624.18x = 351,235.16 × 158,964.80
  4. Step 4: Simplify right side
    254,624.18x = 55,834,026,962.37
  5. Step 5: Solve for x
    x = 55,834,026,962.37/254,624.18
  6. Step 6: Final answer
    x = 219,280.14

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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.