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Finding the Fourth Proportional to 212,002.21, 292,581 and 144,169.66

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Solution

The fourth proportional to 212,002.21, 292,581 and 144,169.66 is: 198,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,002.21 : 292,581 = 144,169.66 : x
  2. Step 2: Convert to fraction form
    212,002.21/292,581 = 144,169.66/x
  3. Step 3: Cross multiply
    212,002.21x = 292,581 × 144,169.66
  4. Step 4: Simplify right side
    212,002.21x = 42,181,303,292.46
  5. Step 5: Solve for x
    x = 42,181,303,292.46/212,002.21
  6. Step 6: Final answer
    x = 198,966.34

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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.