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Finding the Fourth Proportional to 228,335.40, 342,503.10 and 123,359.40

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Solution

The fourth proportional to 228,335.40, 342,503.10 and 123,359.40 is: 185,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,335.40 : 342,503.10 = 123,359.40 : x
  2. Step 2: Convert to fraction form
    228,335.40/342,503.10 = 123,359.40/x
  3. Step 3: Cross multiply
    228,335.40x = 342,503.10 × 123,359.40
  4. Step 4: Simplify right side
    228,335.40x = 42,250,976,914.14
  5. Step 5: Solve for x
    x = 42,250,976,914.14/228,335.40
  6. Step 6: Final answer
    x = 185,039.10

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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.