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Finding the Fourth Proportional to 140,810.94, 211,297.95 and 52,126.74

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Solution

The fourth proportional to 140,810.94, 211,297.95 and 52,126.74 is: 78,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,810.94 : 211,297.95 = 52,126.74 : x
  2. Step 2: Convert to fraction form
    140,810.94/211,297.95 = 52,126.74/x
  3. Step 3: Cross multiply
    140,810.94x = 211,297.95 × 52,126.74
  4. Step 4: Simplify right side
    140,810.94x = 11,014,273,302.18
  5. Step 5: Solve for x
    x = 11,014,273,302.18/140,810.94
  6. Step 6: Final answer
    x = 78,220.30

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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.