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Finding the Fourth Proportional to 180,145.68, 268,899.34 and 158,864.82

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Solution

The fourth proportional to 180,145.68, 268,899.34 and 158,864.82 is: 237,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,145.68 : 268,899.34 = 158,864.82 : x
  2. Step 2: Convert to fraction form
    180,145.68/268,899.34 = 158,864.82/x
  3. Step 3: Cross multiply
    180,145.68x = 268,899.34 × 158,864.82
  4. Step 4: Simplify right side
    180,145.68x = 42,718,645,247.22
  5. Step 5: Solve for x
    x = 42,718,645,247.22/180,145.68
  6. Step 6: Final answer
    x = 237,133.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.