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Finding the Fourth Proportional to 150,412.70, 207,543.21 and 85,852.46

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Solution

The fourth proportional to 150,412.70, 207,543.21 and 85,852.46 is: 118,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,412.70 : 207,543.21 = 85,852.46 : x
  2. Step 2: Convert to fraction form
    150,412.70/207,543.21 = 85,852.46/x
  3. Step 3: Cross multiply
    150,412.70x = 207,543.21 × 85,852.46
  4. Step 4: Simplify right side
    150,412.70x = 17,818,095,134.80
  5. Step 5: Solve for x
    x = 17,818,095,134.80/150,412.70
  6. Step 6: Final answer
    x = 118,461.37

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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.