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Finding the Fourth Proportional to 256,130.69, 353,451.18 and 141,406.98

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Solution

The fourth proportional to 256,130.69, 353,451.18 and 141,406.98 is: 195,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,130.69 : 353,451.18 = 141,406.98 : x
  2. Step 2: Convert to fraction form
    256,130.69/353,451.18 = 141,406.98/x
  3. Step 3: Cross multiply
    256,130.69x = 353,451.18 × 141,406.98
  4. Step 4: Simplify right side
    256,130.69x = 49,980,463,941.24
  5. Step 5: Solve for x
    x = 49,980,463,941.24/256,130.69
  6. Step 6: Final answer
    x = 195,136.57

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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.