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Finding the Fourth Proportional to 233,462.09, 350,332.40 and 121,141.41

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Solution

The fourth proportional to 233,462.09, 350,332.40 and 121,141.41 is: 181,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,462.09 : 350,332.40 = 121,141.41 : x
  2. Step 2: Convert to fraction form
    233,462.09/350,332.40 = 121,141.41/x
  3. Step 3: Cross multiply
    233,462.09x = 350,332.40 × 121,141.41
  4. Step 4: Simplify right side
    233,462.09x = 42,439,760,298.98
  5. Step 5: Solve for x
    x = 42,439,760,298.98/233,462.09
  6. Step 6: Final answer
    x = 181,784.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.