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Finding the Fourth Proportional to 146,268, 219,402 and 35,460

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Solution

The fourth proportional to 146,268, 219,402 and 35,460 is: 53,190

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,268 : 219,402 = 35,460 : x
  2. Step 2: Convert to fraction form
    146,268/219,402 = 35,460/x
  3. Step 3: Cross multiply
    146,268x = 219,402 × 35,460
  4. Step 4: Simplify right side
    146,268x = 7,779,994,920
  5. Step 5: Solve for x
    x = 7,779,994,920/146,268
  6. Step 6: Final answer
    x = 53,190

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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.