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Finding the Fourth Proportional to 260,632.54, 391,016.22 and 152,653.06

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Solution

The fourth proportional to 260,632.54, 391,016.22 and 152,653.06 is: 229,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,632.54 : 391,016.22 = 152,653.06 : x
  2. Step 2: Convert to fraction form
    260,632.54/391,016.22 = 152,653.06/x
  3. Step 3: Cross multiply
    260,632.54x = 391,016.22 × 152,653.06
  4. Step 4: Simplify right side
    260,632.54x = 59,689,822,492.63
  5. Step 5: Solve for x
    x = 59,689,822,492.63/260,632.54
  6. Step 6: Final answer
    x = 229,019.07

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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.