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Finding the Fourth Proportional to 152,858.96, 211,048.16 and 116,984.88

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Solution

The fourth proportional to 152,858.96, 211,048.16 and 116,984.88 is: 161,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,858.96 : 211,048.16 = 116,984.88 : x
  2. Step 2: Convert to fraction form
    152,858.96/211,048.16 = 116,984.88/x
  3. Step 3: Cross multiply
    152,858.96x = 211,048.16 × 116,984.88
  4. Step 4: Simplify right side
    152,858.96x = 24,689,443,671.82
  5. Step 5: Solve for x
    x = 24,689,443,671.82/152,858.96
  6. Step 6: Final answer
    x = 161,517.80

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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.