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Finding the Fourth Proportional to 145,090.28, 216,457.24 and 137,243

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Solution

The fourth proportional to 145,090.28, 216,457.24 and 137,243 is: 204,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,090.28 : 216,457.24 = 137,243 : x
  2. Step 2: Convert to fraction form
    145,090.28/216,457.24 = 137,243/x
  3. Step 3: Cross multiply
    145,090.28x = 216,457.24 × 137,243
  4. Step 4: Simplify right side
    145,090.28x = 29,707,240,989.32
  5. Step 5: Solve for x
    x = 29,707,240,989.32/145,090.28
  6. Step 6: Final answer
    x = 204,750.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.