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Finding the Fourth Proportional to 140,496.56, 210,701 and 46,980.48

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Solution

The fourth proportional to 140,496.56, 210,701 and 46,980.48 is: 70,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,496.56 : 210,701 = 46,980.48 : x
  2. Step 2: Convert to fraction form
    140,496.56/210,701 = 46,980.48/x
  3. Step 3: Cross multiply
    140,496.56x = 210,701 × 46,980.48
  4. Step 4: Simplify right side
    140,496.56x = 9,898,834,116.48
  5. Step 5: Solve for x
    x = 9,898,834,116.48/140,496.56
  6. Step 6: Final answer
    x = 70,456.06

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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.