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Finding the Fourth Proportional to 224,917.16, 310,387.38 and 122,941.40

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Solution

The fourth proportional to 224,917.16, 310,387.38 and 122,941.40 is: 169,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,917.16 : 310,387.38 = 122,941.40 : x
  2. Step 2: Convert to fraction form
    224,917.16/310,387.38 = 122,941.40/x
  3. Step 3: Cross multiply
    224,917.16x = 310,387.38 × 122,941.40
  4. Step 4: Simplify right side
    224,917.16x = 38,159,459,039.53
  5. Step 5: Solve for x
    x = 38,159,459,039.53/224,917.16
  6. Step 6: Final answer
    x = 169,660.06

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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.