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Finding the Fourth Proportional to 225,172.32, 310,779.54 and 144,700.44

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Solution

The fourth proportional to 225,172.32, 310,779.54 and 144,700.44 is: 199,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,172.32 : 310,779.54 = 144,700.44 : x
  2. Step 2: Convert to fraction form
    225,172.32/310,779.54 = 144,700.44/x
  3. Step 3: Cross multiply
    225,172.32x = 310,779.54 × 144,700.44
  4. Step 4: Simplify right side
    225,172.32x = 44,969,936,181.00
  5. Step 5: Solve for x
    x = 44,969,936,181.00/225,172.32
  6. Step 6: Final answer
    x = 199,713.43

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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.