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Finding the Fourth Proportional to 185,185.64, 277,652.10 and 89,072.11

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Solution

The fourth proportional to 185,185.64, 277,652.10 and 89,072.11 is: 133,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,185.64 : 277,652.10 = 89,072.11 : x
  2. Step 2: Convert to fraction form
    185,185.64/277,652.10 = 89,072.11/x
  3. Step 3: Cross multiply
    185,185.64x = 277,652.10 × 89,072.11
  4. Step 4: Simplify right side
    185,185.64x = 24,731,057,512.22
  5. Step 5: Solve for x
    x = 24,731,057,512.22/185,185.64
  6. Step 6: Final answer
    x = 133,547.38

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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.