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Finding the Fourth Proportional to 140,322.34, 210,415.29 and 46,796.50

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Solution

The fourth proportional to 140,322.34, 210,415.29 and 46,796.50 is: 70,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.34 : 210,415.29 = 46,796.50 : x
  2. Step 2: Convert to fraction form
    140,322.34/210,415.29 = 46,796.50/x
  3. Step 3: Cross multiply
    140,322.34x = 210,415.29 × 46,796.50
  4. Step 4: Simplify right side
    140,322.34x = 9,846,699,118.49
  5. Step 5: Solve for x
    x = 9,846,699,118.49/140,322.34
  6. Step 6: Final answer
    x = 70,172.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.