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Finding the Fourth Proportional to 152,189.50, 210,022.23 and 85,121.50

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Solution

The fourth proportional to 152,189.50, 210,022.23 and 85,121.50 is: 117,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,189.50 : 210,022.23 = 85,121.50 : x
  2. Step 2: Convert to fraction form
    152,189.50/210,022.23 = 85,121.50/x
  3. Step 3: Cross multiply
    152,189.50x = 210,022.23 × 85,121.50
  4. Step 4: Simplify right side
    152,189.50x = 17,877,407,250.95
  5. Step 5: Solve for x
    x = 17,877,407,250.95/152,189.50
  6. Step 6: Final answer
    x = 117,468.07

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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.