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Finding the Fourth Proportional to 228,924.90, 343,387.35 and 102,564.90

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Solution

The fourth proportional to 228,924.90, 343,387.35 and 102,564.90 is: 153,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,924.90 : 343,387.35 = 102,564.90 : x
  2. Step 2: Convert to fraction form
    228,924.90/343,387.35 = 102,564.90/x
  3. Step 3: Cross multiply
    228,924.90x = 343,387.35 × 102,564.90
  4. Step 4: Simplify right side
    228,924.90x = 35,219,489,214.02
  5. Step 5: Solve for x
    x = 35,219,489,214.02/228,924.90
  6. Step 6: Final answer
    x = 153,847.35

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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.