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Finding the Fourth Proportional to 189,569.84, 261,606.48 and 103,530

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Solution

The fourth proportional to 189,569.84, 261,606.48 and 103,530 is: 142,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,569.84 : 261,606.48 = 103,530 : x
  2. Step 2: Convert to fraction form
    189,569.84/261,606.48 = 103,530/x
  3. Step 3: Cross multiply
    189,569.84x = 261,606.48 × 103,530
  4. Step 4: Simplify right side
    189,569.84x = 27,084,118,874.40
  5. Step 5: Solve for x
    x = 27,084,118,874.40/189,569.84
  6. Step 6: Final answer
    x = 142,871.46

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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.