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Finding the Fourth Proportional to 100,602, 138,830.76 and 55,890

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Solution

The fourth proportional to 100,602, 138,830.76 and 55,890 is: 77,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602 : 138,830.76 = 55,890 : x
  2. Step 2: Convert to fraction form
    100,602/138,830.76 = 55,890/x
  3. Step 3: Cross multiply
    100,602x = 138,830.76 × 55,890
  4. Step 4: Simplify right side
    100,602x = 7,759,251,176.40
  5. Step 5: Solve for x
    x = 7,759,251,176.40/100,602
  6. Step 6: Final answer
    x = 77,128.20

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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.