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Finding the Fourth Proportional to 178,231.66, 245,921.40 and 105,657.41

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Solution

The fourth proportional to 178,231.66, 245,921.40 and 105,657.41 is: 145,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,231.66 : 245,921.40 = 105,657.41 : x
  2. Step 2: Convert to fraction form
    178,231.66/245,921.40 = 105,657.41/x
  3. Step 3: Cross multiply
    178,231.66x = 245,921.40 × 105,657.41
  4. Step 4: Simplify right side
    178,231.66x = 25,983,418,802.38
  5. Step 5: Solve for x
    x = 25,983,418,802.38/178,231.66
  6. Step 6: Final answer
    x = 145,784.53

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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.