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Finding the Fourth Proportional to 170,829, 256,018.32 and 148,536.18

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Solution

The fourth proportional to 170,829, 256,018.32 and 148,536.18 is: 222,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,829 : 256,018.32 = 148,536.18 : x
  2. Step 2: Convert to fraction form
    170,829/256,018.32 = 148,536.18/x
  3. Step 3: Cross multiply
    170,829x = 256,018.32 × 148,536.18
  4. Step 4: Simplify right side
    170,829x = 38,027,983,262.82
  5. Step 5: Solve for x
    x = 38,027,983,262.82/170,829
  6. Step 6: Final answer
    x = 222,608.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.