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Finding the Fourth Proportional to 212,278.47, 292,965 and 158,470.04

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Solution

The fourth proportional to 212,278.47, 292,965 and 158,470.04 is: 218,704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,278.47 : 292,965 = 158,470.04 : x
  2. Step 2: Convert to fraction form
    212,278.47/292,965 = 158,470.04/x
  3. Step 3: Cross multiply
    212,278.47x = 292,965 × 158,470.04
  4. Step 4: Simplify right side
    212,278.47x = 46,426,173,803.78
  5. Step 5: Solve for x
    x = 46,426,173,803.78/212,278.47
  6. Step 6: Final answer
    x = 218,704.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.