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Finding the Fourth Proportional to 119,117.59, 178,292.44 and 65,725.63

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Solution

The fourth proportional to 119,117.59, 178,292.44 and 65,725.63 is: 98,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,117.59 : 178,292.44 = 65,725.63 : x
  2. Step 2: Convert to fraction form
    119,117.59/178,292.44 = 65,725.63/x
  3. Step 3: Cross multiply
    119,117.59x = 178,292.44 × 65,725.63
  4. Step 4: Simplify right side
    119,117.59x = 11,718,381,723.15
  5. Step 5: Solve for x
    x = 11,718,381,723.15/119,117.59
  6. Step 6: Final answer
    x = 98,376.59

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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.