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Finding the Fourth Proportional to 106,031.42, 146,357.45 and 67,893.68

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Solution

The fourth proportional to 106,031.42, 146,357.45 and 67,893.68 is: 93,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,031.42 : 146,357.45 = 67,893.68 : x
  2. Step 2: Convert to fraction form
    106,031.42/146,357.45 = 67,893.68/x
  3. Step 3: Cross multiply
    106,031.42x = 146,357.45 × 67,893.68
  4. Step 4: Simplify right side
    106,031.42x = 9,936,745,875.92
  5. Step 5: Solve for x
    x = 9,936,745,875.92/106,031.42
  6. Step 6: Final answer
    x = 93,715.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.