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Finding the Fourth Proportional to 211,870.41, 292,373.31 and 116,371.41

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Solution

The fourth proportional to 211,870.41, 292,373.31 and 116,371.41 is: 160,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,870.41 : 292,373.31 = 116,371.41 : x
  2. Step 2: Convert to fraction form
    211,870.41/292,373.31 = 116,371.41/x
  3. Step 3: Cross multiply
    211,870.41x = 292,373.31 × 116,371.41
  4. Step 4: Simplify right side
    211,870.41x = 34,023,894,331.07
  5. Step 5: Solve for x
    x = 34,023,894,331.07/211,870.41
  6. Step 6: Final answer
    x = 160,588.23

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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.