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Finding the Fourth Proportional to 119,953.95, 179,931.15 and 31,207.31

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Solution

The fourth proportional to 119,953.95, 179,931.15 and 31,207.31 is: 46,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,953.95 : 179,931.15 = 31,207.31 : x
  2. Step 2: Convert to fraction form
    119,953.95/179,931.15 = 31,207.31/x
  3. Step 3: Cross multiply
    119,953.95x = 179,931.15 × 31,207.31
  4. Step 4: Simplify right side
    119,953.95x = 5,615,166,277.05
  5. Step 5: Solve for x
    x = 5,615,166,277.05/119,953.95
  6. Step 6: Final answer
    x = 46,811.02

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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.