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Finding the Fourth Proportional to 150,415.76, 225,623.64 and 76,595.60

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Solution

The fourth proportional to 150,415.76, 225,623.64 and 76,595.60 is: 114,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,415.76 : 225,623.64 = 76,595.60 : x
  2. Step 2: Convert to fraction form
    150,415.76/225,623.64 = 76,595.60/x
  3. Step 3: Cross multiply
    150,415.76x = 225,623.64 × 76,595.60
  4. Step 4: Simplify right side
    150,415.76x = 17,281,778,079.98
  5. Step 5: Solve for x
    x = 17,281,778,079.98/150,415.76
  6. Step 6: Final answer
    x = 114,893.40

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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.