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Finding the Fourth Proportional to 180,874.56, 249,319.26 and 142,572

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Solution

The fourth proportional to 180,874.56, 249,319.26 and 142,572 is: 196,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,874.56 : 249,319.26 = 142,572 : x
  2. Step 2: Convert to fraction form
    180,874.56/249,319.26 = 142,572/x
  3. Step 3: Cross multiply
    180,874.56x = 249,319.26 × 142,572
  4. Step 4: Simplify right side
    180,874.56x = 35,545,945,536.72
  5. Step 5: Solve for x
    x = 35,545,945,536.72/180,874.56
  6. Step 6: Final answer
    x = 196,522.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.