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Finding the Fourth Proportional to 255,551.32, 352,661.38 and 142,378.12

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Solution

The fourth proportional to 255,551.32, 352,661.38 and 142,378.12 is: 196,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,551.32 : 352,661.38 = 142,378.12 : x
  2. Step 2: Convert to fraction form
    255,551.32/352,661.38 = 142,378.12/x
  3. Step 3: Cross multiply
    255,551.32x = 352,661.38 × 142,378.12
  4. Step 4: Simplify right side
    255,551.32x = 50,211,264,281.01
  5. Step 5: Solve for x
    x = 50,211,264,281.01/255,551.32
  6. Step 6: Final answer
    x = 196,482.12

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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.