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Finding the Fourth Proportional to 255,432.44, 383,165.96 and 97,677.56

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Solution

The fourth proportional to 255,432.44, 383,165.96 and 97,677.56 is: 146,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,432.44 : 383,165.96 = 97,677.56 : x
  2. Step 2: Convert to fraction form
    255,432.44/383,165.96 = 97,677.56/x
  3. Step 3: Cross multiply
    255,432.44x = 383,165.96 × 97,677.56
  4. Step 4: Simplify right side
    255,432.44x = 37,426,716,047.86
  5. Step 5: Solve for x
    x = 37,426,716,047.86/255,432.44
  6. Step 6: Final answer
    x = 146,522.96

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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.