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Finding the Fourth Proportional to 201,141.96, 277,545.08 and 116,242.64

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Solution

The fourth proportional to 201,141.96, 277,545.08 and 116,242.64 is: 160,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.96 : 277,545.08 = 116,242.64 : x
  2. Step 2: Convert to fraction form
    201,141.96/277,545.08 = 116,242.64/x
  3. Step 3: Cross multiply
    201,141.96x = 277,545.08 × 116,242.64
  4. Step 4: Simplify right side
    201,141.96x = 32,262,572,818.21
  5. Step 5: Solve for x
    x = 32,262,572,818.21/201,141.96
  6. Step 6: Final answer
    x = 160,397.03

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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.