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Finding the Fourth Proportional to 140,064, 210,097.83 and 46,569.75

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Solution

The fourth proportional to 140,064, 210,097.83 and 46,569.75 is: 69,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,064 : 210,097.83 = 46,569.75 : x
  2. Step 2: Convert to fraction form
    140,064/210,097.83 = 46,569.75/x
  3. Step 3: Cross multiply
    140,064x = 210,097.83 × 46,569.75
  4. Step 4: Simplify right side
    140,064x = 9,784,203,418.64
  5. Step 5: Solve for x
    x = 9,784,203,418.64/140,064
  6. Step 6: Final answer
    x = 69,855.23

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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.