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Finding the Fourth Proportional to 263,775.96, 364,009.50 and 142,916.40

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Solution

The fourth proportional to 263,775.96, 364,009.50 and 142,916.40 is: 197,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,775.96 : 364,009.50 = 142,916.40 : x
  2. Step 2: Convert to fraction form
    263,775.96/364,009.50 = 142,916.40/x
  3. Step 3: Cross multiply
    263,775.96x = 364,009.50 × 142,916.40
  4. Step 4: Simplify right side
    263,775.96x = 52,022,927,305.80
  5. Step 5: Solve for x
    x = 52,022,927,305.80/263,775.96
  6. Step 6: Final answer
    x = 197,223.91

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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.