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Finding the Fourth Proportional to 255,758.64, 352,938.82 and 141,042.12

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Solution

The fourth proportional to 255,758.64, 352,938.82 and 141,042.12 is: 194,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,758.64 : 352,938.82 = 141,042.12 : x
  2. Step 2: Convert to fraction form
    255,758.64/352,938.82 = 141,042.12/x
  3. Step 3: Cross multiply
    255,758.64x = 352,938.82 × 141,042.12
  4. Step 4: Simplify right side
    255,758.64x = 49,779,239,403.10
  5. Step 5: Solve for x
    x = 49,779,239,403.10/255,758.64
  6. Step 6: Final answer
    x = 194,633.66

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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.