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Finding the Fourth Proportional to 151,493.54, 209,051.68 and 83,507

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Solution

The fourth proportional to 151,493.54, 209,051.68 and 83,507 is: 115,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,493.54 : 209,051.68 = 83,507 : x
  2. Step 2: Convert to fraction form
    151,493.54/209,051.68 = 83,507/x
  3. Step 3: Cross multiply
    151,493.54x = 209,051.68 × 83,507
  4. Step 4: Simplify right side
    151,493.54x = 17,457,278,641.76
  5. Step 5: Solve for x
    x = 17,457,278,641.76/151,493.54
  6. Step 6: Final answer
    x = 115,234.48

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