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Finding the Fourth Proportional to 174,466.01, 240,785.72 and 106,492.00

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Solution

The fourth proportional to 174,466.01, 240,785.72 and 106,492.00 is: 146,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,466.01 : 240,785.72 = 106,492.00 : x
  2. Step 2: Convert to fraction form
    174,466.01/240,785.72 = 106,492.00/x
  3. Step 3: Cross multiply
    174,466.01x = 240,785.72 × 106,492.00
  4. Step 4: Simplify right side
    174,466.01x = 25,641,752,292.28
  5. Step 5: Solve for x
    x = 25,641,752,292.28/174,466.01
  6. Step 6: Final answer
    x = 146,972.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.