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Finding the Fourth Proportional to 277,199.90, 382,536.42 and 149,875.50

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Solution

The fourth proportional to 277,199.90, 382,536.42 and 149,875.50 is: 206,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,199.90 : 382,536.42 = 149,875.50 : x
  2. Step 2: Convert to fraction form
    277,199.90/382,536.42 = 149,875.50/x
  3. Step 3: Cross multiply
    277,199.90x = 382,536.42 × 149,875.50
  4. Step 4: Simplify right side
    277,199.90x = 57,332,837,215.71
  5. Step 5: Solve for x
    x = 57,332,837,215.71/277,199.90
  6. Step 6: Final answer
    x = 206,828.49

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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.