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Finding the Fourth Proportional to 188,457.68, 282,617.40 and 55,303.76

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Solution

The fourth proportional to 188,457.68, 282,617.40 and 55,303.76 is: 82,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,457.68 : 282,617.40 = 55,303.76 : x
  2. Step 2: Convert to fraction form
    188,457.68/282,617.40 = 55,303.76/x
  3. Step 3: Cross multiply
    188,457.68x = 282,617.40 × 55,303.76
  4. Step 4: Simplify right side
    188,457.68x = 15,629,804,861.42
  5. Step 5: Solve for x
    x = 15,629,804,861.42/188,457.68
  6. Step 6: Final answer
    x = 82,935.36

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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.