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Finding the Fourth Proportional to 180,314.40, 269,953.20 and 110,330.40

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Solution

The fourth proportional to 180,314.40, 269,953.20 and 110,330.40 is: 165,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,314.40 : 269,953.20 = 110,330.40 : x
  2. Step 2: Convert to fraction form
    180,314.40/269,953.20 = 110,330.40/x
  3. Step 3: Cross multiply
    180,314.40x = 269,953.20 × 110,330.40
  4. Step 4: Simplify right side
    180,314.40x = 29,784,044,537.28
  5. Step 5: Solve for x
    x = 29,784,044,537.28/180,314.40
  6. Step 6: Final answer
    x = 165,178.40

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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.