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Finding the Fourth Proportional to 160,220.08, 221,053.76 and 106,514.19

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Solution

The fourth proportional to 160,220.08, 221,053.76 and 106,514.19 is: 146,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,220.08 : 221,053.76 = 106,514.19 : x
  2. Step 2: Convert to fraction form
    160,220.08/221,053.76 = 106,514.19/x
  3. Step 3: Cross multiply
    160,220.08x = 221,053.76 × 106,514.19
  4. Step 4: Simplify right side
    160,220.08x = 23,545,362,059.71
  5. Step 5: Solve for x
    x = 23,545,362,059.71/160,220.08
  6. Step 6: Final answer
    x = 146,956.38

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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.