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Finding the Fourth Proportional to 311,048, 466,641.12 and 114,056

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Solution

The fourth proportional to 311,048, 466,641.12 and 114,056 is: 171,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,048 : 466,641.12 = 114,056 : x
  2. Step 2: Convert to fraction form
    311,048/466,641.12 = 114,056/x
  3. Step 3: Cross multiply
    311,048x = 466,641.12 × 114,056
  4. Step 4: Simplify right side
    311,048x = 53,223,219,582.72
  5. Step 5: Solve for x
    x = 53,223,219,582.72/311,048
  6. Step 6: Final answer
    x = 171,109.35

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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.