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Finding the Fourth Proportional to 152,316.91, 210,203.90 and 84,333.88

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Solution

The fourth proportional to 152,316.91, 210,203.90 and 84,333.88 is: 116,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,316.91 : 210,203.90 = 84,333.88 : x
  2. Step 2: Convert to fraction form
    152,316.91/210,203.90 = 84,333.88/x
  3. Step 3: Cross multiply
    152,316.91x = 210,203.90 × 84,333.88
  4. Step 4: Simplify right side
    152,316.91x = 17,727,309,952.62
  5. Step 5: Solve for x
    x = 17,727,309,952.62/152,316.91
  6. Step 6: Final answer
    x = 116,384.39

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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.