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Finding the Fourth Proportional to 164,080, 246,140.64 and 64,227.36

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Solution

The fourth proportional to 164,080, 246,140.64 and 64,227.36 is: 96,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,080 : 246,140.64 = 64,227.36 : x
  2. Step 2: Convert to fraction form
    164,080/246,140.64 = 64,227.36/x
  3. Step 3: Cross multiply
    164,080x = 246,140.64 × 64,227.36
  4. Step 4: Simplify right side
    164,080x = 15,808,963,495.91
  5. Step 5: Solve for x
    x = 15,808,963,495.91/164,080
  6. Step 6: Final answer
    x = 96,349.12

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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.