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Finding the Fourth Proportional to 200,882.41, 301,041.93 and 144,457

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Solution

The fourth proportional to 200,882.41, 301,041.93 and 144,457 is: 216,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,882.41 : 301,041.93 = 144,457 : x
  2. Step 2: Convert to fraction form
    200,882.41/301,041.93 = 144,457/x
  3. Step 3: Cross multiply
    200,882.41x = 301,041.93 × 144,457
  4. Step 4: Simplify right side
    200,882.41x = 43,487,614,082.01
  5. Step 5: Solve for x
    x = 43,487,614,082.01/200,882.41
  6. Step 6: Final answer
    x = 216,482.94

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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.