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Finding the Fourth Proportional to 151,484.34, 209,038.84 and 83,497.56

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Solution

The fourth proportional to 151,484.34, 209,038.84 and 83,497.56 is: 115,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,484.34 : 209,038.84 = 83,497.56 : x
  2. Step 2: Convert to fraction form
    151,484.34/209,038.84 = 83,497.56/x
  3. Step 3: Cross multiply
    151,484.34x = 209,038.84 × 83,497.56
  4. Step 4: Simplify right side
    151,484.34x = 17,454,233,085.23
  5. Step 5: Solve for x
    x = 17,454,233,085.23/151,484.34
  6. Step 6: Final answer
    x = 115,221.37

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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.