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Finding the Fourth Proportional to 76,429.40, 114,384.90 and 67,098.20

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Solution

The fourth proportional to 76,429.40, 114,384.90 and 67,098.20 is: 100,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429.40 : 114,384.90 = 67,098.20 : x
  2. Step 2: Convert to fraction form
    76,429.40/114,384.90 = 67,098.20/x
  3. Step 3: Cross multiply
    76,429.40x = 114,384.90 × 67,098.20
  4. Step 4: Simplify right side
    76,429.40x = 7,675,020,897.18
  5. Step 5: Solve for x
    x = 7,675,020,897.18/76,429.40
  6. Step 6: Final answer
    x = 100,419.75

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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.