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Finding the Fourth Proportional to 214,312.90, 320,838.73 and 143,058.80

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Solution

The fourth proportional to 214,312.90, 320,838.73 and 143,058.80 is: 214,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,312.90 : 320,838.73 = 143,058.80 : x
  2. Step 2: Convert to fraction form
    214,312.90/320,838.73 = 143,058.80/x
  3. Step 3: Cross multiply
    214,312.90x = 320,838.73 × 143,058.80
  4. Step 4: Simplify right side
    214,312.90x = 45,898,802,992.03
  5. Step 5: Solve for x
    x = 45,898,802,992.03/214,312.90
  6. Step 6: Final answer
    x = 214,167.24

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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.