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Finding the Fourth Proportional to 233,130.40, 349,112.40 and 186,474.40

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Solution

The fourth proportional to 233,130.40, 349,112.40 and 186,474.40 is: 279,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,130.40 : 349,112.40 = 186,474.40 : x
  2. Step 2: Convert to fraction form
    233,130.40/349,112.40 = 186,474.40/x
  3. Step 3: Cross multiply
    233,130.40x = 349,112.40 × 186,474.40
  4. Step 4: Simplify right side
    233,130.40x = 65,100,525,322.56
  5. Step 5: Solve for x
    x = 65,100,525,322.56/233,130.40
  6. Step 6: Final answer
    x = 279,245.11

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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.