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Finding the Fourth Proportional to 210,097.48, 314,683.20 and 173,660.20

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Solution

The fourth proportional to 210,097.48, 314,683.20 and 173,660.20 is: 260,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,097.48 : 314,683.20 = 173,660.20 : x
  2. Step 2: Convert to fraction form
    210,097.48/314,683.20 = 173,660.20/x
  3. Step 3: Cross multiply
    210,097.48x = 314,683.20 × 173,660.20
  4. Step 4: Simplify right side
    210,097.48x = 54,647,947,448.64
  5. Step 5: Solve for x
    x = 54,647,947,448.64/210,097.48
  6. Step 6: Final answer
    x = 260,107.58

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1.5x scale

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.