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Finding the Fourth Proportional to 102,938.90, 154,408.35 and 96,026.90

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Solution

The fourth proportional to 102,938.90, 154,408.35 and 96,026.90 is: 144,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938.90 : 154,408.35 = 96,026.90 : x
  2. Step 2: Convert to fraction form
    102,938.90/154,408.35 = 96,026.90/x
  3. Step 3: Cross multiply
    102,938.90x = 154,408.35 × 96,026.90
  4. Step 4: Simplify right side
    102,938.90x = 14,827,355,184.62
  5. Step 5: Solve for x
    x = 14,827,355,184.62/102,938.90
  6. Step 6: Final answer
    x = 144,040.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.