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Finding the Fourth Proportional to 233,548, 322,297.52 and 127,564

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Solution

The fourth proportional to 233,548, 322,297.52 and 127,564 is: 176,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,548 : 322,297.52 = 127,564 : x
  2. Step 2: Convert to fraction form
    233,548/322,297.52 = 127,564/x
  3. Step 3: Cross multiply
    233,548x = 322,297.52 × 127,564
  4. Step 4: Simplify right side
    233,548x = 41,113,560,841.28
  5. Step 5: Solve for x
    x = 41,113,560,841.28/233,548
  6. Step 6: Final answer
    x = 176,039.02

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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.