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Finding the Fourth Proportional to 100,196, 138,280.56 and 55,484

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Solution

The fourth proportional to 100,196, 138,280.56 and 55,484 is: 76,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196 : 138,280.56 = 55,484 : x
  2. Step 2: Convert to fraction form
    100,196/138,280.56 = 55,484/x
  3. Step 3: Cross multiply
    100,196x = 138,280.56 × 55,484
  4. Step 4: Simplify right side
    100,196x = 7,672,358,591.04
  5. Step 5: Solve for x
    x = 7,672,358,591.04/100,196
  6. Step 6: Final answer
    x = 76,573.50

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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.