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Finding the Fourth Proportional to 292,715.76, 403,948.14 and 158,579.76

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Solution

The fourth proportional to 292,715.76, 403,948.14 and 158,579.76 is: 218,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,715.76 : 403,948.14 = 158,579.76 : x
  2. Step 2: Convert to fraction form
    292,715.76/403,948.14 = 158,579.76/x
  3. Step 3: Cross multiply
    292,715.76x = 403,948.14 × 158,579.76
  4. Step 4: Simplify right side
    292,715.76x = 64,057,999,093.65
  5. Step 5: Solve for x
    x = 64,057,999,093.65/292,715.76
  6. Step 6: Final answer
    x = 218,840.28

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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.