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Finding the Fourth Proportional to 140,549.99, 210,894.23 and 65,675.31

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Solution

The fourth proportional to 140,549.99, 210,894.23 and 65,675.31 is: 98,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,549.99 : 210,894.23 = 65,675.31 : x
  2. Step 2: Convert to fraction form
    140,549.99/210,894.23 = 65,675.31/x
  3. Step 3: Cross multiply
    140,549.99x = 210,894.23 × 65,675.31
  4. Step 4: Simplify right side
    140,549.99x = 13,850,543,305.80
  5. Step 5: Solve for x
    x = 13,850,543,305.80/140,549.99
  6. Step 6: Final answer
    x = 98,545.32

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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.