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Finding the Fourth Proportional to 255,134.64, 382,511.32 and 176,023.12

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Solution

The fourth proportional to 255,134.64, 382,511.32 and 176,023.12 is: 263,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,134.64 : 382,511.32 = 176,023.12 : x
  2. Step 2: Convert to fraction form
    255,134.64/382,511.32 = 176,023.12/x
  3. Step 3: Cross multiply
    255,134.64x = 382,511.32 × 176,023.12
  4. Step 4: Simplify right side
    255,134.64x = 67,330,835,981.72
  5. Step 5: Solve for x
    x = 67,330,835,981.72/255,134.64
  6. Step 6: Final answer
    x = 263,903.15

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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.