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Finding the Fourth Proportional to 152,543.28, 210,510 and 84,561.30

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Solution

The fourth proportional to 152,543.28, 210,510 and 84,561.30 is: 116,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,543.28 : 210,510 = 84,561.30 : x
  2. Step 2: Convert to fraction form
    152,543.28/210,510 = 84,561.30/x
  3. Step 3: Cross multiply
    152,543.28x = 210,510 × 84,561.30
  4. Step 4: Simplify right side
    152,543.28x = 17,800,999,263
  5. Step 5: Solve for x
    x = 17,800,999,263/152,543.28
  6. Step 6: Final answer
    x = 116,694.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.