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Finding the Fourth Proportional to 233,133.69, 349,700.51 and 154,229.45

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Solution

The fourth proportional to 233,133.69, 349,700.51 and 154,229.45 is: 231,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.69 : 349,700.51 = 154,229.45 : x
  2. Step 2: Convert to fraction form
    233,133.69/349,700.51 = 154,229.45/x
  3. Step 3: Cross multiply
    233,133.69x = 349,700.51 × 154,229.45
  4. Step 4: Simplify right side
    233,133.69x = 53,934,118,581.84
  5. Step 5: Solve for x
    x = 53,934,118,581.84/233,133.69
  6. Step 6: Final answer
    x = 231,344.16

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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.