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Finding the Fourth Proportional to 232,433.70, 320,760.89 and 130,457.12

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Solution

The fourth proportional to 232,433.70, 320,760.89 and 130,457.12 is: 180,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,433.70 : 320,760.89 = 130,457.12 : x
  2. Step 2: Convert to fraction form
    232,433.70/320,760.89 = 130,457.12/x
  3. Step 3: Cross multiply
    232,433.70x = 320,760.89 × 130,457.12
  4. Step 4: Simplify right side
    232,433.70x = 41,845,543,046.08
  5. Step 5: Solve for x
    x = 41,845,543,046.08/232,433.70
  6. Step 6: Final answer
    x = 180,032.17

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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.