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Finding the Fourth Proportional to 232,448.16, 320,927.76 and 143,076

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Solution

The fourth proportional to 232,448.16, 320,927.76 and 143,076 is: 197,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,448.16 : 320,927.76 = 143,076 : x
  2. Step 2: Convert to fraction form
    232,448.16/320,927.76 = 143,076/x
  3. Step 3: Cross multiply
    232,448.16x = 320,927.76 × 143,076
  4. Step 4: Simplify right side
    232,448.16x = 45,917,060,189.76
  5. Step 5: Solve for x
    x = 45,917,060,189.76/232,448.16
  6. Step 6: Final answer
    x = 197,536.78

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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.