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Finding the Fourth Proportional to 107,330.32, 160,786.04 and 70,282

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Solution

The fourth proportional to 107,330.32, 160,786.04 and 70,282 is: 105,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,330.32 : 160,786.04 = 70,282 : x
  2. Step 2: Convert to fraction form
    107,330.32/160,786.04 = 70,282/x
  3. Step 3: Cross multiply
    107,330.32x = 160,786.04 × 70,282
  4. Step 4: Simplify right side
    107,330.32x = 11,300,364,463.28
  5. Step 5: Solve for x
    x = 11,300,364,463.28/107,330.32
  6. Step 6: Final answer
    x = 105,285.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.