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Finding the Fourth Proportional to 180,653.40, 249,298.32 and 109,036.44

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Solution

The fourth proportional to 180,653.40, 249,298.32 and 109,036.44 is: 150,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,653.40 : 249,298.32 = 109,036.44 : x
  2. Step 2: Convert to fraction form
    180,653.40/249,298.32 = 109,036.44/x
  3. Step 3: Cross multiply
    180,653.40x = 249,298.32 × 109,036.44
  4. Step 4: Simplify right side
    180,653.40x = 27,182,601,310.78
  5. Step 5: Solve for x
    x = 27,182,601,310.78/180,653.40
  6. Step 6: Final answer
    x = 150,468.25

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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.