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Finding the Fourth Proportional to 219,073.76, 302,325.24 and 123,582.32

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Solution

The fourth proportional to 219,073.76, 302,325.24 and 123,582.32 is: 170,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,073.76 : 302,325.24 = 123,582.32 : x
  2. Step 2: Convert to fraction form
    219,073.76/302,325.24 = 123,582.32/x
  3. Step 3: Cross multiply
    219,073.76x = 302,325.24 × 123,582.32
  4. Step 4: Simplify right side
    219,073.76x = 37,362,054,553.76
  5. Step 5: Solve for x
    x = 37,362,054,553.76/219,073.76
  6. Step 6: Final answer
    x = 170,545.55

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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.