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Finding the Fourth Proportional to 208,946.59, 287,690.74 and 184,392.05

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Solution

The fourth proportional to 208,946.59, 287,690.74 and 184,392.05 is: 253,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,946.59 : 287,690.74 = 184,392.05 : x
  2. Step 2: Convert to fraction form
    208,946.59/287,690.74 = 184,392.05/x
  3. Step 3: Cross multiply
    208,946.59x = 287,690.74 × 184,392.05
  4. Step 4: Simplify right side
    208,946.59x = 53,047,883,415.18
  5. Step 5: Solve for x
    x = 53,047,883,415.18/208,946.59
  6. Step 6: Final answer
    x = 253,882.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.