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Finding the Fourth Proportional to 256,052.84, 353,300.18 and 147,136.14

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Solution

The fourth proportional to 256,052.84, 353,300.18 and 147,136.14 is: 203,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,052.84 : 353,300.18 = 147,136.14 : x
  2. Step 2: Convert to fraction form
    256,052.84/353,300.18 = 147,136.14/x
  3. Step 3: Cross multiply
    256,052.84x = 353,300.18 × 147,136.14
  4. Step 4: Simplify right side
    256,052.84x = 51,983,224,010.82
  5. Step 5: Solve for x
    x = 51,983,224,010.82/256,052.84
  6. Step 6: Final answer
    x = 203,017.57

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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.