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Finding the Fourth Proportional to 237,784.59, 328,088.84 and 161,314.11

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Solution

The fourth proportional to 237,784.59, 328,088.84 and 161,314.11 is: 222,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,784.59 : 328,088.84 = 161,314.11 : x
  2. Step 2: Convert to fraction form
    237,784.59/328,088.84 = 161,314.11/x
  3. Step 3: Cross multiply
    237,784.59x = 328,088.84 × 161,314.11
  4. Step 4: Simplify right side
    237,784.59x = 52,925,358,418.96
  5. Step 5: Solve for x
    x = 52,925,358,418.96/237,784.59
  6. Step 6: Final answer
    x = 222,576.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.