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Finding the Fourth Proportional to 255,809.92, 353,012.88 and 141,099.16

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Solution

The fourth proportional to 255,809.92, 353,012.88 and 141,099.16 is: 194,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.92 : 353,012.88 = 141,099.16 : x
  2. Step 2: Convert to fraction form
    255,809.92/353,012.88 = 141,099.16/x
  3. Step 3: Cross multiply
    255,809.92x = 353,012.88 × 141,099.16
  4. Step 4: Simplify right side
    255,809.92x = 49,809,820,837.18
  5. Step 5: Solve for x
    x = 49,809,820,837.18/255,809.92
  6. Step 6: Final answer
    x = 194,714.19

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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.