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Finding the Fourth Proportional to 228,091.84, 314,689.60 and 147,621.12

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Solution

The fourth proportional to 228,091.84, 314,689.60 and 147,621.12 is: 203,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,091.84 : 314,689.60 = 147,621.12 : x
  2. Step 2: Convert to fraction form
    228,091.84/314,689.60 = 147,621.12/x
  3. Step 3: Cross multiply
    228,091.84x = 314,689.60 × 147,621.12
  4. Step 4: Simplify right side
    228,091.84x = 46,454,831,204.35
  5. Step 5: Solve for x
    x = 46,454,831,204.35/228,091.84
  6. Step 6: Final answer
    x = 203,667.22

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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.