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Finding the Fourth Proportional to 255,903.84, 353,147.92 and 142,733.92

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Solution

The fourth proportional to 255,903.84, 353,147.92 and 142,733.92 is: 196,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,903.84 : 353,147.92 = 142,733.92 : x
  2. Step 2: Convert to fraction form
    255,903.84/353,147.92 = 142,733.92/x
  3. Step 3: Cross multiply
    255,903.84x = 353,147.92 × 142,733.92
  4. Step 4: Simplify right side
    255,903.84x = 50,406,186,961.45
  5. Step 5: Solve for x
    x = 50,406,186,961.45/255,903.84
  6. Step 6: Final answer
    x = 196,973.16

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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.