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Finding the Fourth Proportional to 233,459.27, 349,627.52 and 133,315.93

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Solution

The fourth proportional to 233,459.27, 349,627.52 and 133,315.93 is: 199,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,459.27 : 349,627.52 = 133,315.93 : x
  2. Step 2: Convert to fraction form
    233,459.27/349,627.52 = 133,315.93/x
  3. Step 3: Cross multiply
    233,459.27x = 349,627.52 × 133,315.93
  4. Step 4: Simplify right side
    233,459.27x = 46,610,917,982.39
  5. Step 5: Solve for x
    x = 46,610,917,982.39/233,459.27
  6. Step 6: Final answer
    x = 199,653.32

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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.