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Finding the Fourth Proportional to 214,164.87, 295,547.42 and 128,127.49

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Solution

The fourth proportional to 214,164.87, 295,547.42 and 128,127.49 is: 176,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,164.87 : 295,547.42 = 128,127.49 : x
  2. Step 2: Convert to fraction form
    214,164.87/295,547.42 = 128,127.49/x
  3. Step 3: Cross multiply
    214,164.87x = 295,547.42 × 128,127.49
  4. Step 4: Simplify right side
    214,164.87x = 37,867,749,100.58
  5. Step 5: Solve for x
    x = 37,867,749,100.58/214,164.87
  6. Step 6: Final answer
    x = 176,815.88

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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.