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Finding the Fourth Proportional to 138,655.93, 208,006.90 and 48,675.32

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Solution

The fourth proportional to 138,655.93, 208,006.90 and 48,675.32 is: 73,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,655.93 : 208,006.90 = 48,675.32 : x
  2. Step 2: Convert to fraction form
    138,655.93/208,006.90 = 48,675.32/x
  3. Step 3: Cross multiply
    138,655.93x = 208,006.90 × 48,675.32
  4. Step 4: Simplify right side
    138,655.93x = 10,124,802,419.71
  5. Step 5: Solve for x
    x = 10,124,802,419.71/138,655.93
  6. Step 6: Final answer
    x = 73,021.06

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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.