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Finding the Fourth Proportional to 492,094.51, 738,141.77 and 118,117.51

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Solution

The fourth proportional to 492,094.51, 738,141.77 and 118,117.51 is: 177,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,094.51 : 738,141.77 = 118,117.51 : x
  2. Step 2: Convert to fraction form
    492,094.51/738,141.77 = 118,117.51/x
  3. Step 3: Cross multiply
    492,094.51x = 738,141.77 × 118,117.51
  4. Step 4: Simplify right side
    492,094.51x = 87,187,467,899.39
  5. Step 5: Solve for x
    x = 87,187,467,899.39/492,094.51
  6. Step 6: Final answer
    x = 177,176.27

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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.