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Finding the Fourth Proportional to 137,655.96, 206,361.60 and 48,897.76

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Solution

The fourth proportional to 137,655.96, 206,361.60 and 48,897.76 is: 73,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,655.96 : 206,361.60 = 48,897.76 : x
  2. Step 2: Convert to fraction form
    137,655.96/206,361.60 = 48,897.76/x
  3. Step 3: Cross multiply
    137,655.96x = 206,361.60 × 48,897.76
  4. Step 4: Simplify right side
    137,655.96x = 10,090,619,990.02
  5. Step 5: Solve for x
    x = 10,090,619,990.02/137,655.96
  6. Step 6: Final answer
    x = 73,303.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.