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Finding the Fourth Proportional to 169,444.32, 254,167.44 and 44,784

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Solution

The fourth proportional to 169,444.32, 254,167.44 and 44,784 is: 67,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,444.32 : 254,167.44 = 44,784 : x
  2. Step 2: Convert to fraction form
    169,444.32/254,167.44 = 44,784/x
  3. Step 3: Cross multiply
    169,444.32x = 254,167.44 × 44,784
  4. Step 4: Simplify right side
    169,444.32x = 11,382,634,632.96
  5. Step 5: Solve for x
    x = 11,382,634,632.96/169,444.32
  6. Step 6: Final answer
    x = 67,176.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.