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Finding the Fourth Proportional to 211,297.15, 316,941.09 and 51,373.95

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Solution

The fourth proportional to 211,297.15, 316,941.09 and 51,373.95 is: 77,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,297.15 : 316,941.09 = 51,373.95 : x
  2. Step 2: Convert to fraction form
    211,297.15/316,941.09 = 51,373.95/x
  3. Step 3: Cross multiply
    211,297.15x = 316,941.09 × 51,373.95
  4. Step 4: Simplify right side
    211,297.15x = 16,282,515,710.61
  5. Step 5: Solve for x
    x = 16,282,515,710.61/211,297.15
  6. Step 6: Final answer
    x = 77,059.80

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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.