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Finding the Fourth Proportional to 211,580.80, 291,981.48 and 120,938.70

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Solution

The fourth proportional to 211,580.80, 291,981.48 and 120,938.70 is: 166,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,580.80 : 291,981.48 = 120,938.70 : x
  2. Step 2: Convert to fraction form
    211,580.80/291,981.48 = 120,938.70/x
  3. Step 3: Cross multiply
    211,580.80x = 291,981.48 × 120,938.70
  4. Step 4: Simplify right side
    211,580.80x = 35,311,860,615.28
  5. Step 5: Solve for x
    x = 35,311,860,615.28/211,580.80
  6. Step 6: Final answer
    x = 166,895.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.