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Finding the Fourth Proportional to 185,549.46, 255,943.17 and 162,870.54

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Solution

The fourth proportional to 185,549.46, 255,943.17 and 162,870.54 is: 224,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,549.46 : 255,943.17 = 162,870.54 : x
  2. Step 2: Convert to fraction form
    185,549.46/255,943.17 = 162,870.54/x
  3. Step 3: Cross multiply
    185,549.46x = 255,943.17 × 162,870.54
  4. Step 4: Simplify right side
    185,549.46x = 41,685,602,307.21
  5. Step 5: Solve for x
    x = 41,685,602,307.21/185,549.46
  6. Step 6: Final answer
    x = 224,660.33

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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.