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Finding the Fourth Proportional to 103,076.10, 144,513.90 and 103,076.10

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Solution

The fourth proportional to 103,076.10, 144,513.90 and 103,076.10 is: 144,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076.10 : 144,513.90 = 103,076.10 : x
  2. Step 2: Convert to fraction form
    103,076.10/144,513.90 = 103,076.10/x
  3. Step 3: Cross multiply
    103,076.10x = 144,513.90 × 103,076.10
  4. Step 4: Simplify right side
    103,076.10x = 14,895,929,207.79
  5. Step 5: Solve for x
    x = 14,895,929,207.79/103,076.10
  6. Step 6: Final answer
    x = 144,513.90

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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.