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Finding the Fourth Proportional to 152,646.80, 210,662.80 and 84,685.38

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Solution

The fourth proportional to 152,646.80, 210,662.80 and 84,685.38 is: 116,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646.80 : 210,662.80 = 84,685.38 : x
  2. Step 2: Convert to fraction form
    152,646.80/210,662.80 = 84,685.38/x
  3. Step 3: Cross multiply
    152,646.80x = 210,662.80 × 84,685.38
  4. Step 4: Simplify right side
    152,646.80x = 17,840,059,269.86
  5. Step 5: Solve for x
    x = 17,840,059,269.86/152,646.80
  6. Step 6: Final answer
    x = 116,871.49

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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.