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Finding the Fourth Proportional to 152,411.80, 228,099.30 and 133,749.40

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Solution

The fourth proportional to 152,411.80, 228,099.30 and 133,749.40 is: 200,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,411.80 : 228,099.30 = 133,749.40 : x
  2. Step 2: Convert to fraction form
    152,411.80/228,099.30 = 133,749.40/x
  3. Step 3: Cross multiply
    152,411.80x = 228,099.30 × 133,749.40
  4. Step 4: Simplify right side
    152,411.80x = 30,508,144,515.42
  5. Step 5: Solve for x
    x = 30,508,144,515.42/152,411.80
  6. Step 6: Final answer
    x = 200,169.18

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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.