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Finding the Fourth Proportional to 180,574.44, 249,234.20 and 120,147.63

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Solution

The fourth proportional to 180,574.44, 249,234.20 and 120,147.63 is: 165,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,574.44 : 249,234.20 = 120,147.63 : x
  2. Step 2: Convert to fraction form
    180,574.44/249,234.20 = 120,147.63/x
  3. Step 3: Cross multiply
    180,574.44x = 249,234.20 × 120,147.63
  4. Step 4: Simplify right side
    180,574.44x = 29,944,898,444.95
  5. Step 5: Solve for x
    x = 29,944,898,444.95/180,574.44
  6. Step 6: Final answer
    x = 165,831.32

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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.