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Finding the Fourth Proportional to 228,258.10, 342,387.15 and 123,282.10

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Solution

The fourth proportional to 228,258.10, 342,387.15 and 123,282.10 is: 184,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,258.10 : 342,387.15 = 123,282.10 : x
  2. Step 2: Convert to fraction form
    228,258.10/342,387.15 = 123,282.10/x
  3. Step 3: Cross multiply
    228,258.10x = 342,387.15 × 123,282.10
  4. Step 4: Simplify right side
    228,258.10x = 42,210,206,865.02
  5. Step 5: Solve for x
    x = 42,210,206,865.02/228,258.10
  6. Step 6: Final answer
    x = 184,923.15

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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.