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Finding the Fourth Proportional to 140,215, 210,322.96 and 35,033.98

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Solution

The fourth proportional to 140,215, 210,322.96 and 35,033.98 is: 52,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,215 : 210,322.96 = 35,033.98 : x
  2. Step 2: Convert to fraction form
    140,215/210,322.96 = 35,033.98/x
  3. Step 3: Cross multiply
    140,215x = 210,322.96 × 35,033.98
  4. Step 4: Simplify right side
    140,215x = 7,368,450,374.18
  5. Step 5: Solve for x
    x = 7,368,450,374.18/140,215
  6. Step 6: Final answer
    x = 52,551.08

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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.