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Finding the Fourth Proportional to 185,038, 255,352.48 and 100,155.76

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Solution

The fourth proportional to 185,038, 255,352.48 and 100,155.76 is: 138,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,038 : 255,352.48 = 100,155.76 : x
  2. Step 2: Convert to fraction form
    185,038/255,352.48 = 100,155.76/x
  3. Step 3: Cross multiply
    185,038x = 255,352.48 × 100,155.76
  4. Step 4: Simplify right side
    185,038x = 25,575,021,702.28
  5. Step 5: Solve for x
    x = 25,575,021,702.28/185,038
  6. Step 6: Final answer
    x = 138,214.97

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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.