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Finding the Fourth Proportional to 180,591.42, 249,225.75 and 100,027.74

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Solution

The fourth proportional to 180,591.42, 249,225.75 and 100,027.74 is: 138,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,591.42 : 249,225.75 = 100,027.74 : x
  2. Step 2: Convert to fraction form
    180,591.42/249,225.75 = 100,027.74/x
  3. Step 3: Cross multiply
    180,591.42x = 249,225.75 × 100,027.74
  4. Step 4: Simplify right side
    180,591.42x = 24,929,488,522.31
  5. Step 5: Solve for x
    x = 24,929,488,522.31/180,591.42
  6. Step 6: Final answer
    x = 138,043.59

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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.