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Finding the Fourth Proportional to 125,585.64, 188,386.56 and 55,464.75

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Solution

The fourth proportional to 125,585.64, 188,386.56 and 55,464.75 is: 83,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,585.64 : 188,386.56 = 55,464.75 : x
  2. Step 2: Convert to fraction form
    125,585.64/188,386.56 = 55,464.75/x
  3. Step 3: Cross multiply
    125,585.64x = 188,386.56 × 55,464.75
  4. Step 4: Simplify right side
    125,585.64x = 10,448,813,453.76
  5. Step 5: Solve for x
    x = 10,448,813,453.76/125,585.64
  6. Step 6: Final answer
    x = 83,200.70

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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.