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Finding the Fourth Proportional to 136,471.10, 204,457.17 and 98,938.22

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Solution

The fourth proportional to 136,471.10, 204,457.17 and 98,938.22 is: 148,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,471.10 : 204,457.17 = 98,938.22 : x
  2. Step 2: Convert to fraction form
    136,471.10/204,457.17 = 98,938.22/x
  3. Step 3: Cross multiply
    136,471.10x = 204,457.17 × 98,938.22
  4. Step 4: Simplify right side
    136,471.10x = 20,228,628,466.04
  5. Step 5: Solve for x
    x = 20,228,628,466.04/136,471.10
  6. Step 6: Final answer
    x = 148,226.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.