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Finding the Fourth Proportional to 293,510.94, 440,017.74 and 116,143.08

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Solution

The fourth proportional to 293,510.94, 440,017.74 and 116,143.08 is: 174,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,510.94 : 440,017.74 = 116,143.08 : x
  2. Step 2: Convert to fraction form
    293,510.94/440,017.74 = 116,143.08/x
  3. Step 3: Cross multiply
    293,510.94x = 440,017.74 × 116,143.08
  4. Step 4: Simplify right side
    293,510.94x = 51,105,015,578.24
  5. Step 5: Solve for x
    x = 51,105,015,578.24/293,510.94
  6. Step 6: Final answer
    x = 174,116.22

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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.