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Finding the Fourth Proportional to 179,698.40, 269,547.60 and 55,023.20

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Solution

The fourth proportional to 179,698.40, 269,547.60 and 55,023.20 is: 82,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,698.40 : 269,547.60 = 55,023.20 : x
  2. Step 2: Convert to fraction form
    179,698.40/269,547.60 = 55,023.20/x
  3. Step 3: Cross multiply
    179,698.40x = 269,547.60 × 55,023.20
  4. Step 4: Simplify right side
    179,698.40x = 14,831,371,504.32
  5. Step 5: Solve for x
    x = 14,831,371,504.32/179,698.40
  6. Step 6: Final answer
    x = 82,534.80

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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.