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Finding the Fourth Proportional to 212,906.76, 293,805.54 and 117,411.72

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Solution

The fourth proportional to 212,906.76, 293,805.54 and 117,411.72 is: 162,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,906.76 : 293,805.54 = 117,411.72 : x
  2. Step 2: Convert to fraction form
    212,906.76/293,805.54 = 117,411.72/x
  3. Step 3: Cross multiply
    212,906.76x = 293,805.54 × 117,411.72
  4. Step 4: Simplify right side
    212,906.76x = 34,496,213,796.93
  5. Step 5: Solve for x
    x = 34,496,213,796.93/212,906.76
  6. Step 6: Final answer
    x = 162,024.98

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1.5x scale

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.