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Finding the Fourth Proportional to 230,834.40, 346,251.60 and 152,037.60

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Solution

The fourth proportional to 230,834.40, 346,251.60 and 152,037.60 is: 228,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,834.40 : 346,251.60 = 152,037.60 : x
  2. Step 2: Convert to fraction form
    230,834.40/346,251.60 = 152,037.60/x
  3. Step 3: Cross multiply
    230,834.40x = 346,251.60 × 152,037.60
  4. Step 4: Simplify right side
    230,834.40x = 52,643,262,260.16
  5. Step 5: Solve for x
    x = 52,643,262,260.16/230,834.40
  6. Step 6: Final answer
    x = 228,056.40

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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.