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Finding the Fourth Proportional to 224,477.01, 309,784.80 and 122,509.02

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Solution

The fourth proportional to 224,477.01, 309,784.80 and 122,509.02 is: 169,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477.01 : 309,784.80 = 122,509.02 : x
  2. Step 2: Convert to fraction form
    224,477.01/309,784.80 = 122,509.02/x
  3. Step 3: Cross multiply
    224,477.01x = 309,784.80 × 122,509.02
  4. Step 4: Simplify right side
    224,477.01x = 37,951,433,880.00
  5. Step 5: Solve for x
    x = 37,951,433,880.00/224,477.01
  6. Step 6: Final answer
    x = 169,066.02

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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.