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Finding the Fourth Proportional to 209,807.98, 289,305.88 and 141,706.74

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Solution

The fourth proportional to 209,807.98, 289,305.88 and 141,706.74 is: 195,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.98 : 289,305.88 = 141,706.74 : x
  2. Step 2: Convert to fraction form
    209,807.98/289,305.88 = 141,706.74/x
  3. Step 3: Cross multiply
    209,807.98x = 289,305.88 × 141,706.74
  4. Step 4: Simplify right side
    209,807.98x = 40,996,593,117.63
  5. Step 5: Solve for x
    x = 40,996,593,117.63/209,807.98
  6. Step 6: Final answer
    x = 195,400.54

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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.