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Finding the Fourth Proportional to 253,723.50, 350,133.76 and 146,298.06

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Solution

The fourth proportional to 253,723.50, 350,133.76 and 146,298.06 is: 201,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,723.50 : 350,133.76 = 146,298.06 : x
  2. Step 2: Convert to fraction form
    253,723.50/350,133.76 = 146,298.06/x
  3. Step 3: Cross multiply
    253,723.50x = 350,133.76 × 146,298.06
  4. Step 4: Simplify right side
    253,723.50x = 51,223,889,828.51
  5. Step 5: Solve for x
    x = 51,223,889,828.51/253,723.50
  6. Step 6: Final answer
    x = 201,888.63

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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.