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Finding the Fourth Proportional to 255,340.96, 383,037.60 and 97,702

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Solution

The fourth proportional to 255,340.96, 383,037.60 and 97,702 is: 146,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,340.96 : 383,037.60 = 97,702 : x
  2. Step 2: Convert to fraction form
    255,340.96/383,037.60 = 97,702/x
  3. Step 3: Cross multiply
    255,340.96x = 383,037.60 × 97,702
  4. Step 4: Simplify right side
    255,340.96x = 37,423,539,595.20
  5. Step 5: Solve for x
    x = 37,423,539,595.20/255,340.96
  6. Step 6: Final answer
    x = 146,563.01

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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.