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Finding the Fourth Proportional to 152,210.27, 210,060.70 and 84,230.12

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Solution

The fourth proportional to 152,210.27, 210,060.70 and 84,230.12 is: 116,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,210.27 : 210,060.70 = 84,230.12 : x
  2. Step 2: Convert to fraction form
    152,210.27/210,060.70 = 84,230.12/x
  3. Step 3: Cross multiply
    152,210.27x = 210,060.70 × 84,230.12
  4. Step 4: Simplify right side
    152,210.27x = 17,693,438,282.86
  5. Step 5: Solve for x
    x = 17,693,438,282.86/152,210.27
  6. Step 6: Final answer
    x = 116,243.39

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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.