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Finding the Fourth Proportional to 160,409.79, 240,479.34 and 101,114.76

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Solution

The fourth proportional to 160,409.79, 240,479.34 and 101,114.76 is: 151,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.79 : 240,479.34 = 101,114.76 : x
  2. Step 2: Convert to fraction form
    160,409.79/240,479.34 = 101,114.76/x
  3. Step 3: Cross multiply
    160,409.79x = 240,479.34 × 101,114.76
  4. Step 4: Simplify right side
    160,409.79x = 24,316,010,749.06
  5. Step 5: Solve for x
    x = 24,316,010,749.06/160,409.79
  6. Step 6: Final answer
    x = 151,586.82

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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.