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Finding the Fourth Proportional to 233,387, 322,074.06 and 127,403

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Solution

The fourth proportional to 233,387, 322,074.06 and 127,403 is: 175,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,387 : 322,074.06 = 127,403 : x
  2. Step 2: Convert to fraction form
    233,387/322,074.06 = 127,403/x
  3. Step 3: Cross multiply
    233,387x = 322,074.06 × 127,403
  4. Step 4: Simplify right side
    233,387x = 41,033,201,466.18
  5. Step 5: Solve for x
    x = 41,033,201,466.18/233,387
  6. Step 6: Final answer
    x = 175,816.14

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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.