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Finding the Fourth Proportional to 174,206.34, 240,423.12 and 102,584.84

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Solution

The fourth proportional to 174,206.34, 240,423.12 and 102,584.84 is: 141,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,206.34 : 240,423.12 = 102,584.84 : x
  2. Step 2: Convert to fraction form
    174,206.34/240,423.12 = 102,584.84/x
  3. Step 3: Cross multiply
    174,206.34x = 240,423.12 × 102,584.84
  4. Step 4: Simplify right side
    174,206.34x = 24,663,766,095.39
  5. Step 5: Solve for x
    x = 24,663,766,095.39/174,206.34
  6. Step 6: Final answer
    x = 141,577.89

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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.