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Finding the Fourth Proportional to 214,213.77, 295,547.42 and 123,557.58

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Solution

The fourth proportional to 214,213.77, 295,547.42 and 123,557.58 is: 170,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,213.77 : 295,547.42 = 123,557.58 : x
  2. Step 2: Convert to fraction form
    214,213.77/295,547.42 = 123,557.58/x
  3. Step 3: Cross multiply
    214,213.77x = 295,547.42 × 123,557.58
  4. Step 4: Simplify right side
    214,213.77x = 36,517,124,299.34
  5. Step 5: Solve for x
    x = 36,517,124,299.34/214,213.77
  6. Step 6: Final answer
    x = 170,470.48

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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.