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Finding the Fourth Proportional to 255,714.16, 352,890.18 and 142,524.76

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Solution

The fourth proportional to 255,714.16, 352,890.18 and 142,524.76 is: 196,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.16 : 352,890.18 = 142,524.76 : x
  2. Step 2: Convert to fraction form
    255,714.16/352,890.18 = 142,524.76/x
  3. Step 3: Cross multiply
    255,714.16x = 352,890.18 × 142,524.76
  4. Step 4: Simplify right side
    255,714.16x = 50,295,588,210.86
  5. Step 5: Solve for x
    x = 50,295,588,210.86/255,714.16
  6. Step 6: Final answer
    x = 196,686.75

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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.