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Finding the Fourth Proportional to 136,775.60, 205,134.60 and 57,892.40

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Solution

The fourth proportional to 136,775.60, 205,134.60 and 57,892.40 is: 86,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,775.60 : 205,134.60 = 57,892.40 : x
  2. Step 2: Convert to fraction form
    136,775.60/205,134.60 = 57,892.40/x
  3. Step 3: Cross multiply
    136,775.60x = 205,134.60 × 57,892.40
  4. Step 4: Simplify right side
    136,775.60x = 11,875,734,317.04
  5. Step 5: Solve for x
    x = 11,875,734,317.04/136,775.60
  6. Step 6: Final answer
    x = 86,826.41

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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.