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Finding the Fourth Proportional to 178,128, 245,818.26 and 121,538.16

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Solution

The fourth proportional to 178,128, 245,818.26 and 121,538.16 is: 167,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,128 : 245,818.26 = 121,538.16 : x
  2. Step 2: Convert to fraction form
    178,128/245,818.26 = 121,538.16/x
  3. Step 3: Cross multiply
    178,128x = 245,818.26 × 121,538.16
  4. Step 4: Simplify right side
    178,128x = 29,876,299,014.80
  5. Step 5: Solve for x
    x = 29,876,299,014.80/178,128
  6. Step 6: Final answer
    x = 167,723.77

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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.