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Finding the Fourth Proportional to 180,470.95, 270,612.98 and 96,208.48

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Solution

The fourth proportional to 180,470.95, 270,612.98 and 96,208.48 is: 144,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,470.95 : 270,612.98 = 96,208.48 : x
  2. Step 2: Convert to fraction form
    180,470.95/270,612.98 = 96,208.48/x
  3. Step 3: Cross multiply
    180,470.95x = 270,612.98 × 96,208.48
  4. Step 4: Simplify right side
    180,470.95x = 26,035,263,474.07
  5. Step 5: Solve for x
    x = 26,035,263,474.07/180,470.95
  6. Step 6: Final answer
    x = 144,262.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.