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Finding the Fourth Proportional to 233,239.40, 321,914.42 and 146,065.01

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Solution

The fourth proportional to 233,239.40, 321,914.42 and 146,065.01 is: 201,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,239.40 : 321,914.42 = 146,065.01 : x
  2. Step 2: Convert to fraction form
    233,239.40/321,914.42 = 146,065.01/x
  3. Step 3: Cross multiply
    233,239.40x = 321,914.42 × 146,065.01
  4. Step 4: Simplify right side
    233,239.40x = 47,020,431,184.29
  5. Step 5: Solve for x
    x = 47,020,431,184.29/233,239.40
  6. Step 6: Final answer
    x = 201,597.29

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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.