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Finding the Fourth Proportional to 122,405.86, 183,461.16 and 63,209.26

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Solution

The fourth proportional to 122,405.86, 183,461.16 and 63,209.26 is: 94,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,405.86 : 183,461.16 = 63,209.26 : x
  2. Step 2: Convert to fraction form
    122,405.86/183,461.16 = 63,209.26/x
  3. Step 3: Cross multiply
    122,405.86x = 183,461.16 × 63,209.26
  4. Step 4: Simplify right side
    122,405.86x = 11,596,444,162.34
  5. Step 5: Solve for x
    x = 11,596,444,162.34/122,405.86
  6. Step 6: Final answer
    x = 94,737.66

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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.