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Finding the Fourth Proportional to 152,143.20, 228,214.80 and 134,647.20

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Solution

The fourth proportional to 152,143.20, 228,214.80 and 134,647.20 is: 201,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,143.20 : 228,214.80 = 134,647.20 : x
  2. Step 2: Convert to fraction form
    152,143.20/228,214.80 = 134,647.20/x
  3. Step 3: Cross multiply
    152,143.20x = 228,214.80 × 134,647.20
  4. Step 4: Simplify right side
    152,143.20x = 30,728,483,818.56
  5. Step 5: Solve for x
    x = 30,728,483,818.56/152,143.20
  6. Step 6: Final answer
    x = 201,970.80

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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.