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Finding the Fourth Proportional to 186,233.74, 257,008.38 and 105,664.66

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Solution

The fourth proportional to 186,233.74, 257,008.38 and 105,664.66 is: 145,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,233.74 : 257,008.38 = 105,664.66 : x
  2. Step 2: Convert to fraction form
    186,233.74/257,008.38 = 105,664.66/x
  3. Step 3: Cross multiply
    186,233.74x = 257,008.38 × 105,664.66
  4. Step 4: Simplify right side
    186,233.74x = 27,156,703,089.85
  5. Step 5: Solve for x
    x = 27,156,703,089.85/186,233.74
  6. Step 6: Final answer
    x = 145,820.53

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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.