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Finding the Fourth Proportional to 160,682.96, 240,710.76 and 76,323.08

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Solution

The fourth proportional to 160,682.96, 240,710.76 and 76,323.08 is: 114,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,682.96 : 240,710.76 = 76,323.08 : x
  2. Step 2: Convert to fraction form
    160,682.96/240,710.76 = 76,323.08/x
  3. Step 3: Cross multiply
    160,682.96x = 240,710.76 × 76,323.08
  4. Step 4: Simplify right side
    160,682.96x = 18,371,786,592.34
  5. Step 5: Solve for x
    x = 18,371,786,592.34/160,682.96
  6. Step 6: Final answer
    x = 114,335.62

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1.5x scale

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.