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Finding the Fourth Proportional to 104,169, 143,772.66 and 59,457

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Solution

The fourth proportional to 104,169, 143,772.66 and 59,457 is: 82,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,169 : 143,772.66 = 59,457 : x
  2. Step 2: Convert to fraction form
    104,169/143,772.66 = 59,457/x
  3. Step 3: Cross multiply
    104,169x = 143,772.66 × 59,457
  4. Step 4: Simplify right side
    104,169x = 8,548,291,045.62
  5. Step 5: Solve for x
    x = 8,548,291,045.62/104,169
  6. Step 6: Final answer
    x = 82,061.76

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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.