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Finding the Fourth Proportional to 133,390.80, 184,095.18 and 76,813.20

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Solution

The fourth proportional to 133,390.80, 184,095.18 and 76,813.20 is: 106,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,390.80 : 184,095.18 = 76,813.20 : x
  2. Step 2: Convert to fraction form
    133,390.80/184,095.18 = 76,813.20/x
  3. Step 3: Cross multiply
    133,390.80x = 184,095.18 × 76,813.20
  4. Step 4: Simplify right side
    133,390.80x = 14,140,939,880.38
  5. Step 5: Solve for x
    x = 14,140,939,880.38/133,390.80
  6. Step 6: Final answer
    x = 106,011.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.