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Finding the Fourth Proportional to 277,202.64, 415,810.44 and 90,228.72

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Solution

The fourth proportional to 277,202.64, 415,810.44 and 90,228.72 is: 135,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,202.64 : 415,810.44 = 90,228.72 : x
  2. Step 2: Convert to fraction form
    277,202.64/415,810.44 = 90,228.72/x
  3. Step 3: Cross multiply
    277,202.64x = 415,810.44 × 90,228.72
  4. Step 4: Simplify right side
    277,202.64x = 37,518,043,763.84
  5. Step 5: Solve for x
    x = 37,518,043,763.84/277,202.64
  6. Step 6: Final answer
    x = 135,345.19

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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.