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Finding the Fourth Proportional to 260,120.26, 358,995.10 and 146,950.30

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Solution

The fourth proportional to 260,120.26, 358,995.10 and 146,950.30 is: 202,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,120.26 : 358,995.10 = 146,950.30 : x
  2. Step 2: Convert to fraction form
    260,120.26/358,995.10 = 146,950.30/x
  3. Step 3: Cross multiply
    260,120.26x = 358,995.10 × 146,950.30
  4. Step 4: Simplify right side
    260,120.26x = 52,754,437,643.53
  5. Step 5: Solve for x
    x = 52,754,437,643.53/260,120.26
  6. Step 6: Final answer
    x = 202,807.88

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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.