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Finding the Fourth Proportional to 141,472.16, 212,203.16 and 36,292.16

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Solution

The fourth proportional to 141,472.16, 212,203.16 and 36,292.16 is: 54,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,472.16 : 212,203.16 = 36,292.16 : x
  2. Step 2: Convert to fraction form
    141,472.16/212,203.16 = 36,292.16/x
  3. Step 3: Cross multiply
    141,472.16x = 212,203.16 × 36,292.16
  4. Step 4: Simplify right side
    141,472.16x = 7,701,311,035.23
  5. Step 5: Solve for x
    x = 7,701,311,035.23/141,472.16
  6. Step 6: Final answer
    x = 54,436.94

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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.