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Finding the Fourth Proportional to 185,042.57, 277,143.46 and 144,810.82

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Solution

The fourth proportional to 185,042.57, 277,143.46 and 144,810.82 is: 216,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,042.57 : 277,143.46 = 144,810.82 : x
  2. Step 2: Convert to fraction form
    185,042.57/277,143.46 = 144,810.82/x
  3. Step 3: Cross multiply
    185,042.57x = 277,143.46 × 144,810.82
  4. Step 4: Simplify right side
    185,042.57x = 40,133,371,700.24
  5. Step 5: Solve for x
    x = 40,133,371,700.24/185,042.57
  6. Step 6: Final answer
    x = 216,887.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.