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Finding the Fourth Proportional to 102,464, 141,401.40 and 57,752

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Solution

The fourth proportional to 102,464, 141,401.40 and 57,752 is: 79,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464 : 141,401.40 = 57,752 : x
  2. Step 2: Convert to fraction form
    102,464/141,401.40 = 57,752/x
  3. Step 3: Cross multiply
    102,464x = 141,401.40 × 57,752
  4. Step 4: Simplify right side
    102,464x = 8,166,213,652.80
  5. Step 5: Solve for x
    x = 8,166,213,652.80/102,464
  6. Step 6: Final answer
    x = 79,698.37

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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.