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Finding the Fourth Proportional to 109,513.80, 164,270.70 and 76,271.40

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Solution

The fourth proportional to 109,513.80, 164,270.70 and 76,271.40 is: 114,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,513.80 : 164,270.70 = 76,271.40 : x
  2. Step 2: Convert to fraction form
    109,513.80/164,270.70 = 76,271.40/x
  3. Step 3: Cross multiply
    109,513.80x = 164,270.70 × 76,271.40
  4. Step 4: Simplify right side
    109,513.80x = 12,529,156,267.98
  5. Step 5: Solve for x
    x = 12,529,156,267.98/109,513.80
  6. Step 6: Final answer
    x = 114,407.10

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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.