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Finding the Fourth Proportional to 110,471.66, 152,457.39 and 83,199.63

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Solution

The fourth proportional to 110,471.66, 152,457.39 and 83,199.63 is: 114,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471.66 : 152,457.39 = 83,199.63 : x
  2. Step 2: Convert to fraction form
    110,471.66/152,457.39 = 83,199.63/x
  3. Step 3: Cross multiply
    110,471.66x = 152,457.39 × 83,199.63
  4. Step 4: Simplify right side
    110,471.66x = 12,684,398,438.77
  5. Step 5: Solve for x
    x = 12,684,398,438.77/110,471.66
  6. Step 6: Final answer
    x = 114,820.39

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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.