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Finding the Fourth Proportional to 313,681.60, 470,257.90 and 136,054.83

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Solution

The fourth proportional to 313,681.60, 470,257.90 and 136,054.83 is: 203,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,681.60 : 470,257.90 = 136,054.83 : x
  2. Step 2: Convert to fraction form
    313,681.60/470,257.90 = 136,054.83/x
  3. Step 3: Cross multiply
    313,681.60x = 470,257.90 × 136,054.83
  4. Step 4: Simplify right side
    313,681.60x = 63,980,857,960.38
  5. Step 5: Solve for x
    x = 63,980,857,960.38/313,681.60
  6. Step 6: Final answer
    x = 203,967.52

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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.