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Finding the Fourth Proportional to 185,013, 255,317.94 and 100,130.70

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Solution

The fourth proportional to 185,013, 255,317.94 and 100,130.70 is: 138,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,013 : 255,317.94 = 100,130.70 : x
  2. Step 2: Convert to fraction form
    185,013/255,317.94 = 100,130.70/x
  3. Step 3: Cross multiply
    185,013x = 255,317.94 × 100,130.70
  4. Step 4: Simplify right side
    185,013x = 25,565,164,054.76
  5. Step 5: Solve for x
    x = 25,565,164,054.76/185,013
  6. Step 6: Final answer
    x = 138,180.37

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