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Finding the Fourth Proportional to 189,178.49, 283,502.18 and 103,569.26

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Solution

The fourth proportional to 189,178.49, 283,502.18 and 103,569.26 is: 155,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,178.49 : 283,502.18 = 103,569.26 : x
  2. Step 2: Convert to fraction form
    189,178.49/283,502.18 = 103,569.26/x
  3. Step 3: Cross multiply
    189,178.49x = 283,502.18 × 103,569.26
  4. Step 4: Simplify right side
    189,178.49x = 29,362,109,055.63
  5. Step 5: Solve for x
    x = 29,362,109,055.63/189,178.49
  6. Step 6: Final answer
    x = 155,208.50

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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.