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Finding the Fourth Proportional to 228,598, 315,392.34 and 148,087.24

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Solution

The fourth proportional to 228,598, 315,392.34 and 148,087.24 is: 204,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,598 : 315,392.34 = 148,087.24 : x
  2. Step 2: Convert to fraction form
    228,598/315,392.34 = 148,087.24/x
  3. Step 3: Cross multiply
    228,598x = 315,392.34 × 148,087.24
  4. Step 4: Simplify right side
    228,598x = 46,705,581,147.74
  5. Step 5: Solve for x
    x = 46,705,581,147.74/228,598
  6. Step 6: Final answer
    x = 204,313.17

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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.