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Finding the Fourth Proportional to 152,654.64, 210,655.97 and 84,665.60

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Solution

The fourth proportional to 152,654.64, 210,655.97 and 84,665.60 is: 116,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,654.64 : 210,655.97 = 84,665.60 : x
  2. Step 2: Convert to fraction form
    152,654.64/210,655.97 = 84,665.60/x
  3. Step 3: Cross multiply
    152,654.64x = 210,655.97 × 84,665.60
  4. Step 4: Simplify right side
    152,654.64x = 17,835,313,040.35
  5. Step 5: Solve for x
    x = 17,835,313,040.35/152,654.64
  6. Step 6: Final answer
    x = 116,834.40

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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.