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Finding the Fourth Proportional to 180,653.25, 249,201.06 and 142,271.40

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Solution

The fourth proportional to 180,653.25, 249,201.06 and 142,271.40 is: 196,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,653.25 : 249,201.06 = 142,271.40 : x
  2. Step 2: Convert to fraction form
    180,653.25/249,201.06 = 142,271.40/x
  3. Step 3: Cross multiply
    180,653.25x = 249,201.06 × 142,271.40
  4. Step 4: Simplify right side
    180,653.25x = 35,454,184,088.67
  5. Step 5: Solve for x
    x = 35,454,184,088.67/180,653.25
  6. Step 6: Final answer
    x = 196,255.44

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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.