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Finding the Fourth Proportional to 313,681.41, 470,257.61 and 136,054.64

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Solution

The fourth proportional to 313,681.41, 470,257.61 and 136,054.64 is: 203,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,681.41 : 470,257.61 = 136,054.64 : x
  2. Step 2: Convert to fraction form
    313,681.41/470,257.61 = 136,054.64/x
  3. Step 3: Cross multiply
    313,681.41x = 470,257.61 × 136,054.64
  4. Step 4: Simplify right side
    313,681.41x = 63,980,729,835.81
  5. Step 5: Solve for x
    x = 63,980,729,835.81/313,681.41
  6. Step 6: Final answer
    x = 203,967.23

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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.