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Finding the Fourth Proportional to 230,939.40, 346,409.10 and 152,099.40

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Solution

The fourth proportional to 230,939.40, 346,409.10 and 152,099.40 is: 228,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,939.40 : 346,409.10 = 152,099.40 : x
  2. Step 2: Convert to fraction form
    230,939.40/346,409.10 = 152,099.40/x
  3. Step 3: Cross multiply
    230,939.40x = 346,409.10 × 152,099.40
  4. Step 4: Simplify right side
    230,939.40x = 52,688,616,264.54
  5. Step 5: Solve for x
    x = 52,688,616,264.54/230,939.40
  6. Step 6: Final answer
    x = 228,149.10

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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.