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Finding the Fourth Proportional to 153,852.25, 230,881.46 and 54,012.74

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Solution

The fourth proportional to 153,852.25, 230,881.46 and 54,012.74 is: 81,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,852.25 : 230,881.46 = 54,012.74 : x
  2. Step 2: Convert to fraction form
    153,852.25/230,881.46 = 54,012.74/x
  3. Step 3: Cross multiply
    153,852.25x = 230,881.46 × 54,012.74
  4. Step 4: Simplify right side
    153,852.25x = 12,470,540,982.04
  5. Step 5: Solve for x
    x = 12,470,540,982.04/153,852.25
  6. Step 6: Final answer
    x = 81,055.30

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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.