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Finding the Fourth Proportional to 123,216.64, 169,962.24 and 72,880

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Solution

The fourth proportional to 123,216.64, 169,962.24 and 72,880 is: 100,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,216.64 : 169,962.24 = 72,880 : x
  2. Step 2: Convert to fraction form
    123,216.64/169,962.24 = 72,880/x
  3. Step 3: Cross multiply
    123,216.64x = 169,962.24 × 72,880
  4. Step 4: Simplify right side
    123,216.64x = 12,386,848,051.20
  5. Step 5: Solve for x
    x = 12,386,848,051.20/123,216.64
  6. Step 6: Final answer
    x = 100,529.02

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