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Finding the Fourth Proportional to 141,410.94, 211,829.97 and 65,401.50

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Solution

The fourth proportional to 141,410.94, 211,829.97 and 65,401.50 is: 97,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,410.94 : 211,829.97 = 65,401.50 : x
  2. Step 2: Convert to fraction form
    141,410.94/211,829.97 = 65,401.50/x
  3. Step 3: Cross multiply
    141,410.94x = 211,829.97 × 65,401.50
  4. Step 4: Simplify right side
    141,410.94x = 13,853,997,782.96
  5. Step 5: Solve for x
    x = 13,853,997,782.96/141,410.94
  6. Step 6: Final answer
    x = 97,969.77

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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.