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Finding the Fourth Proportional to 224,808.28, 310,380.06 and 144,270.52

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Solution

The fourth proportional to 224,808.28, 310,380.06 and 144,270.52 is: 199,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,808.28 : 310,380.06 = 144,270.52 : x
  2. Step 2: Convert to fraction form
    224,808.28/310,380.06 = 144,270.52/x
  3. Step 3: Cross multiply
    224,808.28x = 310,380.06 × 144,270.52
  4. Step 4: Simplify right side
    224,808.28x = 44,778,692,653.83
  5. Step 5: Solve for x
    x = 44,778,692,653.83/224,808.28
  6. Step 6: Final answer
    x = 199,186.14

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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.