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Finding the Fourth Proportional to 232,276.80, 348,328.80 and 92,006.40

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Solution

The fourth proportional to 232,276.80, 348,328.80 and 92,006.40 is: 137,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,276.80 : 348,328.80 = 92,006.40 : x
  2. Step 2: Convert to fraction form
    232,276.80/348,328.80 = 92,006.40/x
  3. Step 3: Cross multiply
    232,276.80x = 348,328.80 × 92,006.40
  4. Step 4: Simplify right side
    232,276.80x = 32,048,478,904.32
  5. Step 5: Solve for x
    x = 32,048,478,904.32/232,276.80
  6. Step 6: Final answer
    x = 137,975.38

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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.