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Finding the Fourth Proportional to 233,417.94, 322,098.57 and 137,906.52

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Solution

The fourth proportional to 233,417.94, 322,098.57 and 137,906.52 is: 190,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,417.94 : 322,098.57 = 137,906.52 : x
  2. Step 2: Convert to fraction form
    233,417.94/322,098.57 = 137,906.52/x
  3. Step 3: Cross multiply
    233,417.94x = 322,098.57 × 137,906.52
  4. Step 4: Simplify right side
    233,417.94x = 44,419,492,885.68
  5. Step 5: Solve for x
    x = 44,419,492,885.68/233,417.94
  6. Step 6: Final answer
    x = 190,300.25

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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.