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Finding the Fourth Proportional to 233,537, 322,282.34 and 127,553

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Solution

The fourth proportional to 233,537, 322,282.34 and 127,553 is: 176,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,537 : 322,282.34 = 127,553 : x
  2. Step 2: Convert to fraction form
    233,537/322,282.34 = 127,553/x
  3. Step 3: Cross multiply
    233,537x = 322,282.34 × 127,553
  4. Step 4: Simplify right side
    233,537x = 41,108,079,314.02
  5. Step 5: Solve for x
    x = 41,108,079,314.02/233,537
  6. Step 6: Final answer
    x = 176,023.84

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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.