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Finding the Fourth Proportional to 164,477.54, 246,715.68 and 64,567.82

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Solution

The fourth proportional to 164,477.54, 246,715.68 and 64,567.82 is: 96,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,477.54 : 246,715.68 = 64,567.82 : x
  2. Step 2: Convert to fraction form
    164,477.54/246,715.68 = 64,567.82/x
  3. Step 3: Cross multiply
    164,477.54x = 246,715.68 × 64,567.82
  4. Step 4: Simplify right side
    164,477.54x = 15,929,893,617.42
  5. Step 5: Solve for x
    x = 15,929,893,617.42/164,477.54
  6. Step 6: Final answer
    x = 96,851.48

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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.