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Finding the Fourth Proportional to 228,746.50, 343,114.89 and 102,357.34

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Solution

The fourth proportional to 228,746.50, 343,114.89 and 102,357.34 is: 153,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,746.50 : 343,114.89 = 102,357.34 : x
  2. Step 2: Convert to fraction form
    228,746.50/343,114.89 = 102,357.34/x
  3. Step 3: Cross multiply
    228,746.50x = 343,114.89 × 102,357.34
  4. Step 4: Simplify right side
    228,746.50x = 35,120,327,454.79
  5. Step 5: Solve for x
    x = 35,120,327,454.79/228,746.50
  6. Step 6: Final answer
    x = 153,533.84

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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.