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Finding the Fourth Proportional to 162,544.32, 223,812.72 and 142,287.84

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Solution

The fourth proportional to 162,544.32, 223,812.72 and 142,287.84 is: 195,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,544.32 : 223,812.72 = 142,287.84 : x
  2. Step 2: Convert to fraction form
    162,544.32/223,812.72 = 142,287.84/x
  3. Step 3: Cross multiply
    162,544.32x = 223,812.72 × 142,287.84
  4. Step 4: Simplify right side
    162,544.32x = 31,845,828,493.32
  5. Step 5: Solve for x
    x = 31,845,828,493.32/162,544.32
  6. Step 6: Final answer
    x = 195,920.89

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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.