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Finding the Fourth Proportional to 314,913.15, 472,227.57 and 90,222.15

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Solution

The fourth proportional to 314,913.15, 472,227.57 and 90,222.15 is: 135,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,913.15 : 472,227.57 = 90,222.15 : x
  2. Step 2: Convert to fraction form
    314,913.15/472,227.57 = 90,222.15/x
  3. Step 3: Cross multiply
    314,913.15x = 472,227.57 × 90,222.15
  4. Step 4: Simplify right side
    314,913.15x = 42,605,388,425.53
  5. Step 5: Solve for x
    x = 42,605,388,425.53/314,913.15
  6. Step 6: Final answer
    x = 135,292.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.