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Finding the Fourth Proportional to 134,869.60, 202,077.60 and 106,681.60

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Solution

The fourth proportional to 134,869.60, 202,077.60 and 106,681.60 is: 159,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,869.60 : 202,077.60 = 106,681.60 : x
  2. Step 2: Convert to fraction form
    134,869.60/202,077.60 = 106,681.60/x
  3. Step 3: Cross multiply
    134,869.60x = 202,077.60 × 106,681.60
  4. Step 4: Simplify right side
    134,869.60x = 21,557,961,692.16
  5. Step 5: Solve for x
    x = 21,557,961,692.16/134,869.60
  6. Step 6: Final answer
    x = 159,843.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.