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Finding the Fourth Proportional to 132,713.24, 183,138.48 and 72,284

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Solution

The fourth proportional to 132,713.24, 183,138.48 and 72,284 is: 99,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,713.24 : 183,138.48 = 72,284 : x
  2. Step 2: Convert to fraction form
    132,713.24/183,138.48 = 72,284/x
  3. Step 3: Cross multiply
    132,713.24x = 183,138.48 × 72,284
  4. Step 4: Simplify right side
    132,713.24x = 13,237,981,888.32
  5. Step 5: Solve for x
    x = 13,237,981,888.32/132,713.24
  6. Step 6: Final answer
    x = 99,748.77

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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.