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Finding the Fourth Proportional to 185,697.46, 256,265.58 and 100,814.50

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Solution

The fourth proportional to 185,697.46, 256,265.58 and 100,814.50 is: 139,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,697.46 : 256,265.58 = 100,814.50 : x
  2. Step 2: Convert to fraction form
    185,697.46/256,265.58 = 100,814.50/x
  3. Step 3: Cross multiply
    185,697.46x = 256,265.58 × 100,814.50
  4. Step 4: Simplify right side
    185,697.46x = 25,835,286,314.91
  5. Step 5: Solve for x
    x = 25,835,286,314.91/185,697.46
  6. Step 6: Final answer
    x = 139,125.68

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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.