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Finding the Fourth Proportional to 119,838.93, 179,765.16 and 31,090.08

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Solution

The fourth proportional to 119,838.93, 179,765.16 and 31,090.08 is: 46,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,838.93 : 179,765.16 = 31,090.08 : x
  2. Step 2: Convert to fraction form
    119,838.93/179,765.16 = 31,090.08/x
  3. Step 3: Cross multiply
    119,838.93x = 179,765.16 × 31,090.08
  4. Step 4: Simplify right side
    119,838.93x = 5,588,913,205.61
  5. Step 5: Solve for x
    x = 5,588,913,205.61/119,838.93
  6. Step 6: Final answer
    x = 46,636.88

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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.