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Finding the Fourth Proportional to 104,160.66, 143,741.64 and 56,414.01

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Solution

The fourth proportional to 104,160.66, 143,741.64 and 56,414.01 is: 77,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,160.66 : 143,741.64 = 56,414.01 : x
  2. Step 2: Convert to fraction form
    104,160.66/143,741.64 = 56,414.01/x
  3. Step 3: Cross multiply
    104,160.66x = 143,741.64 × 56,414.01
  4. Step 4: Simplify right side
    104,160.66x = 8,109,042,316.38
  5. Step 5: Solve for x
    x = 8,109,042,316.38/104,160.66
  6. Step 6: Final answer
    x = 77,851.30

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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.