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Finding the Fourth Proportional to 185,779.78, 256,391.90 and 105,221.63

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Solution

The fourth proportional to 185,779.78, 256,391.90 and 105,221.63 is: 145,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,779.78 : 256,391.90 = 105,221.63 : x
  2. Step 2: Convert to fraction form
    185,779.78/256,391.90 = 105,221.63/x
  3. Step 3: Cross multiply
    185,779.78x = 256,391.90 × 105,221.63
  4. Step 4: Simplify right side
    185,779.78x = 26,977,973,636.80
  5. Step 5: Solve for x
    x = 26,977,973,636.80/185,779.78
  6. Step 6: Final answer
    x = 145,214.80

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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.