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Finding the Fourth Proportional to 259,384.44, 357,929.10 and 146,235

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Solution

The fourth proportional to 259,384.44, 357,929.10 and 146,235 is: 201,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,384.44 : 357,929.10 = 146,235 : x
  2. Step 2: Convert to fraction form
    259,384.44/357,929.10 = 146,235/x
  3. Step 3: Cross multiply
    259,384.44x = 357,929.10 × 146,235
  4. Step 4: Simplify right side
    259,384.44x = 52,341,761,938.50
  5. Step 5: Solve for x
    x = 52,341,761,938.50/259,384.44
  6. Step 6: Final answer
    x = 201,792.22

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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.