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Finding the Fourth Proportional to 211,423.74, 316,513.53 and 141,128.70

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Solution

The fourth proportional to 211,423.74, 316,513.53 and 141,128.70 is: 211,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,423.74 : 316,513.53 = 141,128.70 : x
  2. Step 2: Convert to fraction form
    211,423.74/316,513.53 = 141,128.70/x
  3. Step 3: Cross multiply
    211,423.74x = 316,513.53 × 141,128.70
  4. Step 4: Simplify right side
    211,423.74x = 44,669,143,021.31
  5. Step 5: Solve for x
    x = 44,669,143,021.31/211,423.74
  6. Step 6: Final answer
    x = 211,277.80

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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.