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Finding the Fourth Proportional to 292,602.50, 403,791.45 and 158,466.50

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Solution

The fourth proportional to 292,602.50, 403,791.45 and 158,466.50 is: 218,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,602.50 : 403,791.45 = 158,466.50 : x
  2. Step 2: Convert to fraction form
    292,602.50/403,791.45 = 158,466.50/x
  3. Step 3: Cross multiply
    292,602.50x = 403,791.45 × 158,466.50
  4. Step 4: Simplify right side
    292,602.50x = 63,987,417,811.43
  5. Step 5: Solve for x
    x = 63,987,417,811.43/292,602.50
  6. Step 6: Final answer
    x = 218,683.77

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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.