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Finding the Fourth Proportional to 180,473.40, 270,616.64 and 96,210.92

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Solution

The fourth proportional to 180,473.40, 270,616.64 and 96,210.92 is: 144,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,473.40 : 270,616.64 = 96,210.92 : x
  2. Step 2: Convert to fraction form
    180,473.40/270,616.64 = 96,210.92/x
  3. Step 3: Cross multiply
    180,473.40x = 270,616.64 × 96,210.92
  4. Step 4: Simplify right side
    180,473.40x = 26,036,275,901.71
  5. Step 5: Solve for x
    x = 26,036,275,901.71/180,473.40
  6. Step 6: Final answer
    x = 144,266.56

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