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Finding the Fourth Proportional to 292,896, 404,196.75 and 158,760

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Solution

The fourth proportional to 292,896, 404,196.75 and 158,760 is: 219,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,896 : 404,196.75 = 158,760 : x
  2. Step 2: Convert to fraction form
    292,896/404,196.75 = 158,760/x
  3. Step 3: Cross multiply
    292,896x = 404,196.75 × 158,760
  4. Step 4: Simplify right side
    292,896x = 64,170,276,030
  5. Step 5: Solve for x
    x = 64,170,276,030/292,896
  6. Step 6: Final answer
    x = 219,088.95

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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.