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Finding the Fourth Proportional to 137,844.60, 193,376.10 and 137,844.60

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Solution

The fourth proportional to 137,844.60, 193,376.10 and 137,844.60 is: 193,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,844.60 : 193,376.10 = 137,844.60 : x
  2. Step 2: Convert to fraction form
    137,844.60/193,376.10 = 137,844.60/x
  3. Step 3: Cross multiply
    137,844.60x = 193,376.10 × 137,844.60
  4. Step 4: Simplify right side
    137,844.60x = 26,655,851,154.06
  5. Step 5: Solve for x
    x = 26,655,851,154.06/137,844.60
  6. Step 6: Final answer
    x = 193,376.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.