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Finding the Fourth Proportional to 164,451, 246,715.50 and 53,643

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Solution

The fourth proportional to 164,451, 246,715.50 and 53,643 is: 80,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,451 : 246,715.50 = 53,643 : x
  2. Step 2: Convert to fraction form
    164,451/246,715.50 = 53,643/x
  3. Step 3: Cross multiply
    164,451x = 246,715.50 × 53,643
  4. Step 4: Simplify right side
    164,451x = 13,234,559,566.50
  5. Step 5: Solve for x
    x = 13,234,559,566.50/164,451
  6. Step 6: Final answer
    x = 80,477.22

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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.