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Finding the Fourth Proportional to 225,242.67, 310,699.74 and 148,761.92

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Solution

The fourth proportional to 225,242.67, 310,699.74 and 148,761.92 is: 205,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,242.67 : 310,699.74 = 148,761.92 : x
  2. Step 2: Convert to fraction form
    225,242.67/310,699.74 = 148,761.92/x
  3. Step 3: Cross multiply
    225,242.67x = 310,699.74 × 148,761.92
  4. Step 4: Simplify right side
    225,242.67x = 46,220,288,312.40
  5. Step 5: Solve for x
    x = 46,220,288,312.40/225,242.67
  6. Step 6: Final answer
    x = 205,202.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.