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Finding the Fourth Proportional to 189,663.84, 261,411.84 and 147,142.08

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Solution

The fourth proportional to 189,663.84, 261,411.84 and 147,142.08 is: 202,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,663.84 : 261,411.84 = 147,142.08 : x
  2. Step 2: Convert to fraction form
    189,663.84/261,411.84 = 147,142.08/x
  3. Step 3: Cross multiply
    189,663.84x = 261,411.84 × 147,142.08
  4. Step 4: Simplify right side
    189,663.84x = 38,464,681,874.23
  5. Step 5: Solve for x
    x = 38,464,681,874.23/189,663.84
  6. Step 6: Final answer
    x = 202,804.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.