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Finding the Fourth Proportional to 102,044.63, 140,813.49 and 56,719.06

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Solution

The fourth proportional to 102,044.63, 140,813.49 and 56,719.06 is: 78,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.63 : 140,813.49 = 56,719.06 : x
  2. Step 2: Convert to fraction form
    102,044.63/140,813.49 = 56,719.06/x
  3. Step 3: Cross multiply
    102,044.63x = 140,813.49 × 56,719.06
  4. Step 4: Simplify right side
    102,044.63x = 7,986,808,788.12
  5. Step 5: Solve for x
    x = 7,986,808,788.12/102,044.63
  6. Step 6: Final answer
    x = 78,267.80

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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.