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Finding the Fourth Proportional to 292,361.25, 403,458.57 and 158,225.25

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Solution

The fourth proportional to 292,361.25, 403,458.57 and 158,225.25 is: 218,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,361.25 : 403,458.57 = 158,225.25 : x
  2. Step 2: Convert to fraction form
    292,361.25/403,458.57 = 158,225.25/x
  3. Step 3: Cross multiply
    292,361.25x = 403,458.57 × 158,225.25
  4. Step 4: Simplify right side
    292,361.25x = 63,837,333,102.89
  5. Step 5: Solve for x
    x = 63,837,333,102.89/292,361.25
  6. Step 6: Final answer
    x = 218,350.87

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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.