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Finding the Fourth Proportional to 260,985, 360,159.66 and 141,753

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Solution

The fourth proportional to 260,985, 360,159.66 and 141,753 is: 195,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,985 : 360,159.66 = 141,753 : x
  2. Step 2: Convert to fraction form
    260,985/360,159.66 = 141,753/x
  3. Step 3: Cross multiply
    260,985x = 360,159.66 × 141,753
  4. Step 4: Simplify right side
    260,985x = 51,053,712,283.98
  5. Step 5: Solve for x
    x = 51,053,712,283.98/260,985
  6. Step 6: Final answer
    x = 195,619.34

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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.