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Finding the Fourth Proportional to 224,617.93, 309,970.40 and 122,643.09

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Solution

The fourth proportional to 224,617.93, 309,970.40 and 122,643.09 is: 169,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,617.93 : 309,970.40 = 122,643.09 : x
  2. Step 2: Convert to fraction form
    224,617.93/309,970.40 = 122,643.09/x
  3. Step 3: Cross multiply
    224,617.93x = 309,970.40 × 122,643.09
  4. Step 4: Simplify right side
    224,617.93x = 38,015,727,051.32
  5. Step 5: Solve for x
    x = 38,015,727,051.32/224,617.93
  6. Step 6: Final answer
    x = 169,246.18

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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.