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Finding the Fourth Proportional to 146,460, 219,690.05 and 35,652

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Solution

The fourth proportional to 146,460, 219,690.05 and 35,652 is: 53,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,460 : 219,690.05 = 35,652 : x
  2. Step 2: Convert to fraction form
    146,460/219,690.05 = 35,652/x
  3. Step 3: Cross multiply
    146,460x = 219,690.05 × 35,652
  4. Step 4: Simplify right side
    146,460x = 7,832,389,484.34
  5. Step 5: Solve for x
    x = 7,832,389,484.34/146,460
  6. Step 6: Final answer
    x = 53,478.01

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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.