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Finding the Fourth Proportional to 160,585.23, 240,921.64 and 55,419.69

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Solution

The fourth proportional to 160,585.23, 240,921.64 and 55,419.69 is: 83,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,585.23 : 240,921.64 = 55,419.69 : x
  2. Step 2: Convert to fraction form
    160,585.23/240,921.64 = 55,419.69/x
  3. Step 3: Cross multiply
    160,585.23x = 240,921.64 × 55,419.69
  4. Step 4: Simplify right side
    160,585.23x = 13,351,803,575.82
  5. Step 5: Solve for x
    x = 13,351,803,575.82/160,585.23
  6. Step 6: Final answer
    x = 83,144.65

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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.