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Finding the Fourth Proportional to 164,064, 246,119.76 and 51,706.20

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Solution

The fourth proportional to 164,064, 246,119.76 and 51,706.20 is: 77,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,064 : 246,119.76 = 51,706.20 : x
  2. Step 2: Convert to fraction form
    164,064/246,119.76 = 51,706.20/x
  3. Step 3: Cross multiply
    164,064x = 246,119.76 × 51,706.20
  4. Step 4: Simplify right side
    164,064x = 12,725,917,534.51
  5. Step 5: Solve for x
    x = 12,725,917,534.51/164,064
  6. Step 6: Final answer
    x = 77,566.79

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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.