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Finding the Fourth Proportional to 255,927.50, 353,293.20 and 165,327.64

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Solution

The fourth proportional to 255,927.50, 353,293.20 and 165,327.64 is: 228,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,927.50 : 353,293.20 = 165,327.64 : x
  2. Step 2: Convert to fraction form
    255,927.50/353,293.20 = 165,327.64/x
  3. Step 3: Cross multiply
    255,927.50x = 353,293.20 × 165,327.64
  4. Step 4: Simplify right side
    255,927.50x = 58,409,130,984.05
  5. Step 5: Solve for x
    x = 58,409,130,984.05/255,927.50
  6. Step 6: Final answer
    x = 228,225.30

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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.