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Finding the Fourth Proportional to 151,488, 209,057.76 and 84,424.32

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Solution

The fourth proportional to 151,488, 209,057.76 and 84,424.32 is: 116,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,488 : 209,057.76 = 84,424.32 : x
  2. Step 2: Convert to fraction form
    151,488/209,057.76 = 84,424.32/x
  3. Step 3: Cross multiply
    151,488x = 209,057.76 × 84,424.32
  4. Step 4: Simplify right side
    151,488x = 17,649,559,228.72
  5. Step 5: Solve for x
    x = 17,649,559,228.72/151,488
  6. Step 6: Final answer
    x = 116,507.97

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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.