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Finding the Fourth Proportional to 192,624.48, 288,545.04 and 157,212

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Solution

The fourth proportional to 192,624.48, 288,545.04 and 157,212 is: 235,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,624.48 : 288,545.04 = 157,212 : x
  2. Step 2: Convert to fraction form
    192,624.48/288,545.04 = 157,212/x
  3. Step 3: Cross multiply
    192,624.48x = 288,545.04 × 157,212
  4. Step 4: Simplify right side
    192,624.48x = 45,362,742,828.48
  5. Step 5: Solve for x
    x = 45,362,742,828.48/192,624.48
  6. Step 6: Final answer
    x = 235,498.33

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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.