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Finding the Fourth Proportional to 138,703.42, 208,055.18 and 33,522.39

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Solution

The fourth proportional to 138,703.42, 208,055.18 and 33,522.39 is: 50,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,703.42 : 208,055.18 = 33,522.39 : x
  2. Step 2: Convert to fraction form
    138,703.42/208,055.18 = 33,522.39/x
  3. Step 3: Cross multiply
    138,703.42x = 208,055.18 × 33,522.39
  4. Step 4: Simplify right side
    138,703.42x = 6,974,506,969.29
  5. Step 5: Solve for x
    x = 6,974,506,969.29/138,703.42
  6. Step 6: Final answer
    x = 50,283.60

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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.