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Finding the Fourth Proportional to 201,407.36, 301,914 and 83,178.32

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Solution

The fourth proportional to 201,407.36, 301,914 and 83,178.32 is: 124,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,407.36 : 301,914 = 83,178.32 : x
  2. Step 2: Convert to fraction form
    201,407.36/301,914 = 83,178.32/x
  3. Step 3: Cross multiply
    201,407.36x = 301,914 × 83,178.32
  4. Step 4: Simplify right side
    201,407.36x = 25,112,699,304.48
  5. Step 5: Solve for x
    x = 25,112,699,304.48/201,407.36
  6. Step 6: Final answer
    x = 124,686.11

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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.