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Finding the Fourth Proportional to 292,435.92, 403,561.64 and 158,299.92

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Solution

The fourth proportional to 292,435.92, 403,561.64 and 158,299.92 is: 218,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,435.92 : 403,561.64 = 158,299.92 : x
  2. Step 2: Convert to fraction form
    292,435.92/403,561.64 = 158,299.92/x
  3. Step 3: Cross multiply
    292,435.92x = 403,561.64 × 158,299.92
  4. Step 4: Simplify right side
    292,435.92x = 63,883,775,722.82
  5. Step 5: Solve for x
    x = 63,883,775,722.82/292,435.92
  6. Step 6: Final answer
    x = 218,453.93

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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.