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Finding the Fourth Proportional to 292,342.95, 403,433.27 and 158,206.95

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Solution

The fourth proportional to 292,342.95, 403,433.27 and 158,206.95 is: 218,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,342.95 : 403,433.27 = 158,206.95 : x
  2. Step 2: Convert to fraction form
    292,342.95/403,433.27 = 158,206.95/x
  3. Step 3: Cross multiply
    292,342.95x = 403,433.27 × 158,206.95
  4. Step 4: Simplify right side
    292,342.95x = 63,825,948,327.18
  5. Step 5: Solve for x
    x = 63,825,948,327.18/292,342.95
  6. Step 6: Final answer
    x = 218,325.59

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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.