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Finding the Fourth Proportional to 256,304.01, 353,702.82 and 141,582.20

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Solution

The fourth proportional to 256,304.01, 353,702.82 and 141,582.20 is: 195,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,304.01 : 353,702.82 = 141,582.20 : x
  2. Step 2: Convert to fraction form
    256,304.01/353,702.82 = 141,582.20/x
  3. Step 3: Cross multiply
    256,304.01x = 353,702.82 × 141,582.20
  4. Step 4: Simplify right side
    256,304.01x = 50,078,021,633.29
  5. Step 5: Solve for x
    x = 50,078,021,633.29/256,304.01
  6. Step 6: Final answer
    x = 195,385.24

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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.