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Finding the Fourth Proportional to 180,403.46, 248,953.04 and 99,830.94

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Solution

The fourth proportional to 180,403.46, 248,953.04 and 99,830.94 is: 137,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,403.46 : 248,953.04 = 99,830.94 : x
  2. Step 2: Convert to fraction form
    180,403.46/248,953.04 = 99,830.94/x
  3. Step 3: Cross multiply
    180,403.46x = 248,953.04 × 99,830.94
  4. Step 4: Simplify right side
    180,403.46x = 24,853,215,999.06
  5. Step 5: Solve for x
    x = 24,853,215,999.06/180,403.46
  6. Step 6: Final answer
    x = 137,764.63

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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.