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Finding the Fourth Proportional to 96,200.36, 144,303.02 and 45,587.51

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Solution

The fourth proportional to 96,200.36, 144,303.02 and 45,587.51 is: 68,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,200.36 : 144,303.02 = 45,587.51 : x
  2. Step 2: Convert to fraction form
    96,200.36/144,303.02 = 45,587.51/x
  3. Step 3: Cross multiply
    96,200.36x = 144,303.02 × 45,587.51
  4. Step 4: Simplify right side
    96,200.36x = 6,578,415,129.92
  5. Step 5: Solve for x
    x = 6,578,415,129.92/96,200.36
  6. Step 6: Final answer
    x = 68,382.44

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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.