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Finding the Fourth Proportional to 152,868, 210,959.28 and 85,801.44

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Solution

The fourth proportional to 152,868, 210,959.28 and 85,801.44 is: 118,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,868 : 210,959.28 = 85,801.44 : x
  2. Step 2: Convert to fraction form
    152,868/210,959.28 = 85,801.44/x
  3. Step 3: Cross multiply
    152,868x = 210,959.28 × 85,801.44
  4. Step 4: Simplify right side
    152,868x = 18,100,610,005.36
  5. Step 5: Solve for x
    x = 18,100,610,005.36/152,868
  6. Step 6: Final answer
    x = 118,406.80

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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.