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Finding the Fourth Proportional to 103,957.94, 143,461.74 and 58,635.78

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Solution

The fourth proportional to 103,957.94, 143,461.74 and 58,635.78 is: 80,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,957.94 : 143,461.74 = 58,635.78 : x
  2. Step 2: Convert to fraction form
    103,957.94/143,461.74 = 58,635.78/x
  3. Step 3: Cross multiply
    103,957.94x = 143,461.74 × 58,635.78
  4. Step 4: Simplify right side
    103,957.94x = 8,411,991,025.06
  5. Step 5: Solve for x
    x = 8,411,991,025.06/103,957.94
  6. Step 6: Final answer
    x = 80,917.26

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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.