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Finding the Fourth Proportional to 210,766.42, 290,724.69 and 147,080.98

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Solution

The fourth proportional to 210,766.42, 290,724.69 and 147,080.98 is: 202,878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,766.42 : 290,724.69 = 147,080.98 : x
  2. Step 2: Convert to fraction form
    210,766.42/290,724.69 = 147,080.98/x
  3. Step 3: Cross multiply
    210,766.42x = 290,724.69 × 147,080.98
  4. Step 4: Simplify right side
    210,766.42x = 42,760,072,315.40
  5. Step 5: Solve for x
    x = 42,760,072,315.40/210,766.42
  6. Step 6: Final answer
    x = 202,878.96

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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.