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Finding the Fourth Proportional to 210,415.46, 290,264.92 and 142,435.40

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Solution

The fourth proportional to 210,415.46, 290,264.92 and 142,435.40 is: 196,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,415.46 : 290,264.92 = 142,435.40 : x
  2. Step 2: Convert to fraction form
    210,415.46/290,264.92 = 142,435.40/x
  3. Step 3: Cross multiply
    210,415.46x = 290,264.92 × 142,435.40
  4. Step 4: Simplify right side
    210,415.46x = 41,343,998,178.75
  5. Step 5: Solve for x
    x = 41,343,998,178.75/210,415.46
  6. Step 6: Final answer
    x = 196,487.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.