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Finding the Fourth Proportional to 214,718.40, 322,135.92 and 64,952.64

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Solution

The fourth proportional to 214,718.40, 322,135.92 and 64,952.64 is: 97,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,718.40 : 322,135.92 = 64,952.64 : x
  2. Step 2: Convert to fraction form
    214,718.40/322,135.92 = 64,952.64/x
  3. Step 3: Cross multiply
    214,718.40x = 322,135.92 × 64,952.64
  4. Step 4: Simplify right side
    214,718.40x = 20,923,578,442.83
  5. Step 5: Solve for x
    x = 20,923,578,442.83/214,718.40
  6. Step 6: Final answer
    x = 97,446.60

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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.