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Finding the Fourth Proportional to 149,191.26, 205,877.88 and 85,484.76

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Solution

The fourth proportional to 149,191.26, 205,877.88 and 85,484.76 is: 117,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,191.26 : 205,877.88 = 85,484.76 : x
  2. Step 2: Convert to fraction form
    149,191.26/205,877.88 = 85,484.76/x
  3. Step 3: Cross multiply
    149,191.26x = 205,877.88 × 85,484.76
  4. Step 4: Simplify right side
    149,191.26x = 17,599,421,161.11
  5. Step 5: Solve for x
    x = 17,599,421,161.11/149,191.26
  6. Step 6: Final answer
    x = 117,965.50

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1.5x scale

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.