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Finding the Fourth Proportional to 164,411.40, 246,617.10 and 64,538.40

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Solution

The fourth proportional to 164,411.40, 246,617.10 and 64,538.40 is: 96,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,411.40 : 246,617.10 = 64,538.40 : x
  2. Step 2: Convert to fraction form
    164,411.40/246,617.10 = 64,538.40/x
  3. Step 3: Cross multiply
    164,411.40x = 246,617.10 × 64,538.40
  4. Step 4: Simplify right side
    164,411.40x = 15,916,273,046.64
  5. Step 5: Solve for x
    x = 15,916,273,046.64/164,411.40
  6. Step 6: Final answer
    x = 96,807.60

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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.