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Finding the Fourth Proportional to 313,678.29, 470,252.91 and 136,051.50

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Solution

The fourth proportional to 313,678.29, 470,252.91 and 136,051.50 is: 203,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,678.29 : 470,252.91 = 136,051.50 : x
  2. Step 2: Convert to fraction form
    313,678.29/470,252.91 = 136,051.50/x
  3. Step 3: Cross multiply
    313,678.29x = 470,252.91 × 136,051.50
  4. Step 4: Simplify right side
    313,678.29x = 63,978,613,784.87
  5. Step 5: Solve for x
    x = 63,978,613,784.87/313,678.29
  6. Step 6: Final answer
    x = 203,962.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.