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Finding the Fourth Proportional to 122,509.40, 183,764.10 and 91,405.40

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Solution

The fourth proportional to 122,509.40, 183,764.10 and 91,405.40 is: 137,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,509.40 : 183,764.10 = 91,405.40 : x
  2. Step 2: Convert to fraction form
    122,509.40/183,764.10 = 91,405.40/x
  3. Step 3: Cross multiply
    122,509.40x = 183,764.10 × 91,405.40
  4. Step 4: Simplify right side
    122,509.40x = 16,797,031,066.14
  5. Step 5: Solve for x
    x = 16,797,031,066.14/122,509.40
  6. Step 6: Final answer
    x = 137,108.10

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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.