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Finding the Fourth Proportional to 188,701.82, 283,055.62 and 48,457.34

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Solution

The fourth proportional to 188,701.82, 283,055.62 and 48,457.34 is: 72,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,701.82 : 283,055.62 = 48,457.34 : x
  2. Step 2: Convert to fraction form
    188,701.82/283,055.62 = 48,457.34/x
  3. Step 3: Cross multiply
    188,701.82x = 283,055.62 × 48,457.34
  4. Step 4: Simplify right side
    188,701.82x = 13,716,122,417.25
  5. Step 5: Solve for x
    x = 13,716,122,417.25/188,701.82
  6. Step 6: Final answer
    x = 72,686.75

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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.