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Finding the Fourth Proportional to 153,488.96, 230,284.67 and 68,088.03

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Solution

The fourth proportional to 153,488.96, 230,284.67 and 68,088.03 is: 102,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,488.96 : 230,284.67 = 68,088.03 : x
  2. Step 2: Convert to fraction form
    153,488.96/230,284.67 = 68,088.03/x
  3. Step 3: Cross multiply
    153,488.96x = 230,284.67 × 68,088.03
  4. Step 4: Simplify right side
    153,488.96x = 15,679,629,179.06
  5. Step 5: Solve for x
    x = 15,679,629,179.06/153,488.96
  6. Step 6: Final answer
    x = 102,154.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.