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Finding the Fourth Proportional to 199,781.84, 275,707.34 and 114,898.98

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Solution

The fourth proportional to 199,781.84, 275,707.34 and 114,898.98 is: 158,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,781.84 : 275,707.34 = 114,898.98 : x
  2. Step 2: Convert to fraction form
    199,781.84/275,707.34 = 114,898.98/x
  3. Step 3: Cross multiply
    199,781.84x = 275,707.34 × 114,898.98
  4. Step 4: Simplify right side
    199,781.84x = 31,678,492,144.51
  5. Step 5: Solve for x
    x = 31,678,492,144.51/199,781.84
  6. Step 6: Final answer
    x = 158,565.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.