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Finding the Fourth Proportional to 232,633.93, 348,689.31 and 118,461.37

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Solution

The fourth proportional to 232,633.93, 348,689.31 and 118,461.37 is: 177,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,633.93 : 348,689.31 = 118,461.37 : x
  2. Step 2: Convert to fraction form
    232,633.93/348,689.31 = 118,461.37/x
  3. Step 3: Cross multiply
    232,633.93x = 348,689.31 × 118,461.37
  4. Step 4: Simplify right side
    232,633.93x = 41,306,211,623.51
  5. Step 5: Solve for x
    x = 41,306,211,623.51/232,633.93
  6. Step 6: Final answer
    x = 177,558.84

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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.