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Finding the Fourth Proportional to 152,598.62, 210,588.64 and 84,618.46

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Solution

The fourth proportional to 152,598.62, 210,588.64 and 84,618.46 is: 116,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,598.62 : 210,588.64 = 84,618.46 : x
  2. Step 2: Convert to fraction form
    152,598.62/210,588.64 = 84,618.46/x
  3. Step 3: Cross multiply
    152,598.62x = 210,588.64 × 84,618.46
  4. Step 4: Simplify right side
    152,598.62x = 17,819,686,410.29
  5. Step 5: Solve for x
    x = 17,819,686,410.29/152,598.62
  6. Step 6: Final answer
    x = 116,774.89

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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.