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Finding the Fourth Proportional to 255,898.48, 353,025.72 and 148,406.32

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Solution

The fourth proportional to 255,898.48, 353,025.72 and 148,406.32 is: 204,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,898.48 : 353,025.72 = 148,406.32 : x
  2. Step 2: Convert to fraction form
    255,898.48/353,025.72 = 148,406.32/x
  3. Step 3: Cross multiply
    255,898.48x = 353,025.72 × 148,406.32
  4. Step 4: Simplify right side
    255,898.48x = 52,391,247,970.55
  5. Step 5: Solve for x
    x = 52,391,247,970.55/255,898.48
  6. Step 6: Final answer
    x = 204,734.50

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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.