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Finding the Fourth Proportional to 180,546.69, 249,152.64 and 97,760.30

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Solution

The fourth proportional to 180,546.69, 249,152.64 and 97,760.30 is: 134,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,546.69 : 249,152.64 = 97,760.30 : x
  2. Step 2: Convert to fraction form
    180,546.69/249,152.64 = 97,760.30/x
  3. Step 3: Cross multiply
    180,546.69x = 249,152.64 × 97,760.30
  4. Step 4: Simplify right side
    180,546.69x = 24,357,235,586.43
  5. Step 5: Solve for x
    x = 24,357,235,586.43/180,546.69
  6. Step 6: Final answer
    x = 134,908.24

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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.