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Finding the Fourth Proportional to 259,990.56, 358,786.44 and 146,813.40

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Solution

The fourth proportional to 259,990.56, 358,786.44 and 146,813.40 is: 202,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,990.56 : 358,786.44 = 146,813.40 : x
  2. Step 2: Convert to fraction form
    259,990.56/358,786.44 = 146,813.40/x
  3. Step 3: Cross multiply
    259,990.56x = 358,786.44 × 146,813.40
  4. Step 4: Simplify right side
    259,990.56x = 52,674,657,130.30
  5. Step 5: Solve for x
    x = 52,674,657,130.30/259,990.56
  6. Step 6: Final answer
    x = 202,602.19

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Why These Related Problems?

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