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Finding the Fourth Proportional to 255,301.42, 382,495.29 and 142,850.74

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Solution

The fourth proportional to 255,301.42, 382,495.29 and 142,850.74 is: 214,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301.42 : 382,495.29 = 142,850.74 : x
  2. Step 2: Convert to fraction form
    255,301.42/382,495.29 = 142,850.74/x
  3. Step 3: Cross multiply
    255,301.42x = 382,495.29 × 142,850.74
  4. Step 4: Simplify right side
    255,301.42x = 54,639,735,223.01
  5. Step 5: Solve for x
    x = 54,639,735,223.01/255,301.42
  6. Step 6: Final answer
    x = 214,020.49

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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.