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Finding the Fourth Proportional to 223,678.72, 308,574.93 and 132,983.16

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Solution

The fourth proportional to 223,678.72, 308,574.93 and 132,983.16 is: 183,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,678.72 : 308,574.93 = 132,983.16 : x
  2. Step 2: Convert to fraction form
    223,678.72/308,574.93 = 132,983.16/x
  3. Step 3: Cross multiply
    223,678.72x = 308,574.93 × 132,983.16
  4. Step 4: Simplify right side
    223,678.72x = 41,035,269,288.18
  5. Step 5: Solve for x
    x = 41,035,269,288.18/223,678.72
  6. Step 6: Final answer
    x = 183,456.30

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Why These Related Problems?

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