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Finding the Fourth Proportional to 292,311, 403,390.26 and 158,175

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Solution

The fourth proportional to 292,311, 403,390.26 and 158,175 is: 218,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,311 : 403,390.26 = 158,175 : x
  2. Step 2: Convert to fraction form
    292,311/403,390.26 = 158,175/x
  3. Step 3: Cross multiply
    292,311x = 403,390.26 × 158,175
  4. Step 4: Simplify right side
    292,311x = 63,806,254,375.50
  5. Step 5: Solve for x
    x = 63,806,254,375.50/292,311
  6. Step 6: Final answer
    x = 218,282.08

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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.