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Finding the Fourth Proportional to 185,980.38, 256,652.70 and 101,098.08

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Solution

The fourth proportional to 185,980.38, 256,652.70 and 101,098.08 is: 139,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,980.38 : 256,652.70 = 101,098.08 : x
  2. Step 2: Convert to fraction form
    185,980.38/256,652.70 = 101,098.08/x
  3. Step 3: Cross multiply
    185,980.38x = 256,652.70 × 101,098.08
  4. Step 4: Simplify right side
    185,980.38x = 25,947,095,196.82
  5. Step 5: Solve for x
    x = 25,947,095,196.82/185,980.38
  6. Step 6: Final answer
    x = 139,515.23

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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.