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Finding the Fourth Proportional to 232,131.40, 320,223.43 and 151,606.06

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Solution

The fourth proportional to 232,131.40, 320,223.43 and 151,606.06 is: 209,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,131.40 : 320,223.43 = 151,606.06 : x
  2. Step 2: Convert to fraction form
    232,131.40/320,223.43 = 151,606.06/x
  3. Step 3: Cross multiply
    232,131.40x = 320,223.43 × 151,606.06
  4. Step 4: Simplify right side
    232,131.40x = 48,547,812,541.99
  5. Step 5: Solve for x
    x = 48,547,812,541.99/232,131.40
  6. Step 6: Final answer
    x = 209,139.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.