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Finding the Fourth Proportional to 211,295.96, 316,941.54 and 51,372.80

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Solution

The fourth proportional to 211,295.96, 316,941.54 and 51,372.80 is: 77,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,295.96 : 316,941.54 = 51,372.80 : x
  2. Step 2: Convert to fraction form
    211,295.96/316,941.54 = 51,372.80/x
  3. Step 3: Cross multiply
    211,295.96x = 316,941.54 × 51,372.80
  4. Step 4: Simplify right side
    211,295.96x = 16,282,174,346.11
  5. Step 5: Solve for x
    x = 16,282,174,346.11/211,295.96
  6. Step 6: Final answer
    x = 77,058.62

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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.