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Finding the Fourth Proportional to 102,044.60, 143,010.07 and 102,044.60

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Solution

The fourth proportional to 102,044.60, 143,010.07 and 102,044.60 is: 143,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.60 : 143,010.07 = 102,044.60 : x
  2. Step 2: Convert to fraction form
    102,044.60/143,010.07 = 102,044.60/x
  3. Step 3: Cross multiply
    102,044.60x = 143,010.07 × 102,044.60
  4. Step 4: Simplify right side
    102,044.60x = 14,593,404,878.90
  5. Step 5: Solve for x
    x = 14,593,404,878.90/102,044.60
  6. Step 6: Final answer
    x = 143,010.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.