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Finding the Fourth Proportional to 256,088.70, 353,421.99 and 141,389.46

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Solution

The fourth proportional to 256,088.70, 353,421.99 and 141,389.46 is: 195,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,088.70 : 353,421.99 = 141,389.46 : x
  2. Step 2: Convert to fraction form
    256,088.70/353,421.99 = 141,389.46/x
  3. Step 3: Cross multiply
    256,088.70x = 353,421.99 × 141,389.46
  4. Step 4: Simplify right side
    256,088.70x = 49,970,144,318.23
  5. Step 5: Solve for x
    x = 49,970,144,318.23/256,088.70
  6. Step 6: Final answer
    x = 195,128.27

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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.