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Finding the Fourth Proportional to 230,928.40, 346,392.60 and 152,088.40

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Solution

The fourth proportional to 230,928.40, 346,392.60 and 152,088.40 is: 228,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,928.40 : 346,392.60 = 152,088.40 : x
  2. Step 2: Convert to fraction form
    230,928.40/346,392.60 = 152,088.40/x
  3. Step 3: Cross multiply
    230,928.40x = 346,392.60 × 152,088.40
  4. Step 4: Simplify right side
    230,928.40x = 52,682,296,305.84
  5. Step 5: Solve for x
    x = 52,682,296,305.84/230,928.40
  6. Step 6: Final answer
    x = 228,132.60

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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.