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Finding the Fourth Proportional to 116,632.54, 174,947.66 and 53,434.74

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Solution

The fourth proportional to 116,632.54, 174,947.66 and 53,434.74 is: 80,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,632.54 : 174,947.66 = 53,434.74 : x
  2. Step 2: Convert to fraction form
    116,632.54/174,947.66 = 53,434.74/x
  3. Step 3: Cross multiply
    116,632.54x = 174,947.66 × 53,434.74
  4. Step 4: Simplify right side
    116,632.54x = 9,348,282,725.71
  5. Step 5: Solve for x
    x = 9,348,282,725.71/116,632.54
  6. Step 6: Final answer
    x = 80,151.58

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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.