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Finding the Fourth Proportional to 224,944.73, 310,222.55 and 186,643.53

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Solution

The fourth proportional to 224,944.73, 310,222.55 and 186,643.53 is: 257,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,944.73 : 310,222.55 = 186,643.53 : x
  2. Step 2: Convert to fraction form
    224,944.73/310,222.55 = 186,643.53/x
  3. Step 3: Cross multiply
    224,944.73x = 310,222.55 × 186,643.53
  4. Step 4: Simplify right side
    224,944.73x = 57,901,031,817.60
  5. Step 5: Solve for x
    x = 57,901,031,817.60/224,944.73
  6. Step 6: Final answer
    x = 257,401.15

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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.