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Finding the Fourth Proportional to 100,219.66, 138,298.21 and 54,897.84

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Solution

The fourth proportional to 100,219.66, 138,298.21 and 54,897.84 is: 75,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.66 : 138,298.21 = 54,897.84 : x
  2. Step 2: Convert to fraction form
    100,219.66/138,298.21 = 54,897.84/x
  3. Step 3: Cross multiply
    100,219.66x = 138,298.21 × 54,897.84
  4. Step 4: Simplify right side
    100,219.66x = 7,592,272,038.89
  5. Step 5: Solve for x
    x = 7,592,272,038.89/100,219.66
  6. Step 6: Final answer
    x = 75,756.32

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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.