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Finding the Fourth Proportional to 180,232.16, 248,710.32 and 99,654.84

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Solution

The fourth proportional to 180,232.16, 248,710.32 and 99,654.84 is: 137,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,232.16 : 248,710.32 = 99,654.84 : x
  2. Step 2: Convert to fraction form
    180,232.16/248,710.32 = 99,654.84/x
  3. Step 3: Cross multiply
    180,232.16x = 248,710.32 × 99,654.84
  4. Step 4: Simplify right side
    180,232.16x = 24,785,187,145.95
  5. Step 5: Solve for x
    x = 24,785,187,145.95/180,232.16
  6. Step 6: Final answer
    x = 137,518.12

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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.