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Finding the Fourth Proportional to 201,378.49, 277,903.32 and 110,740.30

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Solution

The fourth proportional to 201,378.49, 277,903.32 and 110,740.30 is: 152,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,378.49 : 277,903.32 = 110,740.30 : x
  2. Step 2: Convert to fraction form
    201,378.49/277,903.32 = 110,740.30/x
  3. Step 3: Cross multiply
    201,378.49x = 277,903.32 × 110,740.30
  4. Step 4: Simplify right side
    201,378.49x = 30,775,097,027.80
  5. Step 5: Solve for x
    x = 30,775,097,027.80/201,378.49
  6. Step 6: Final answer
    x = 152,822.17

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1.5x scale

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.