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Finding the Fourth Proportional to 180,882.54, 249,330.30 and 142,579.98

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Solution

The fourth proportional to 180,882.54, 249,330.30 and 142,579.98 is: 196,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,882.54 : 249,330.30 = 142,579.98 : x
  2. Step 2: Convert to fraction form
    180,882.54/249,330.30 = 142,579.98/x
  3. Step 3: Cross multiply
    180,882.54x = 249,330.30 × 142,579.98
  4. Step 4: Simplify right side
    180,882.54x = 35,549,509,187.39
  5. Step 5: Solve for x
    x = 35,549,509,187.39/180,882.54
  6. Step 6: Final answer
    x = 196,533.67

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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.