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Finding the Fourth Proportional to 185,356.71, 255,792.02 and 100,473.75

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Solution

The fourth proportional to 185,356.71, 255,792.02 and 100,473.75 is: 138,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,356.71 : 255,792.02 = 100,473.75 : x
  2. Step 2: Convert to fraction form
    185,356.71/255,792.02 = 100,473.75/x
  3. Step 3: Cross multiply
    185,356.71x = 255,792.02 × 100,473.75
  4. Step 4: Simplify right side
    185,356.71x = 25,700,382,967.11
  5. Step 5: Solve for x
    x = 25,700,382,967.11/185,356.71
  6. Step 6: Final answer
    x = 138,653.64

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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.