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Finding the Fourth Proportional to 202,688.42, 279,681.46 and 116,614.71

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Solution

The fourth proportional to 202,688.42, 279,681.46 and 116,614.71 is: 160,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,688.42 : 279,681.46 = 116,614.71 : x
  2. Step 2: Convert to fraction form
    202,688.42/279,681.46 = 116,614.71/x
  3. Step 3: Cross multiply
    202,688.42x = 279,681.46 × 116,614.71
  4. Step 4: Simplify right side
    202,688.42x = 32,614,972,058.74
  5. Step 5: Solve for x
    x = 32,614,972,058.74/202,688.42
  6. Step 6: Final answer
    x = 160,911.87

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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.