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Finding the Fourth Proportional to 233,916.63, 322,805.13 and 126,486.72

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Solution

The fourth proportional to 233,916.63, 322,805.13 and 126,486.72 is: 174,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,916.63 : 322,805.13 = 126,486.72 : x
  2. Step 2: Convert to fraction form
    233,916.63/322,805.13 = 126,486.72/x
  3. Step 3: Cross multiply
    233,916.63x = 322,805.13 × 126,486.72
  4. Step 4: Simplify right side
    233,916.63x = 40,830,562,092.87
  5. Step 5: Solve for x
    x = 40,830,562,092.87/233,916.63
  6. Step 6: Final answer
    x = 174,551.77

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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.