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Finding the Fourth Proportional to 255,348, 352,386.72 and 142,168.32

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Solution

The fourth proportional to 255,348, 352,386.72 and 142,168.32 is: 196,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,348 : 352,386.72 = 142,168.32 : x
  2. Step 2: Convert to fraction form
    255,348/352,386.72 = 142,168.32/x
  3. Step 3: Cross multiply
    255,348x = 352,386.72 × 142,168.32
  4. Step 4: Simplify right side
    255,348x = 50,098,227,972.71
  5. Step 5: Solve for x
    x = 50,098,227,972.71/255,348
  6. Step 6: Final answer
    x = 196,195.89

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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.