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Finding the Fourth Proportional to 180,816.14, 249,532.16 and 100,251.16

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Solution

The fourth proportional to 180,816.14, 249,532.16 and 100,251.16 is: 138,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,816.14 : 249,532.16 = 100,251.16 : x
  2. Step 2: Convert to fraction form
    180,816.14/249,532.16 = 100,251.16/x
  3. Step 3: Cross multiply
    180,816.14x = 249,532.16 × 100,251.16
  4. Step 4: Simplify right side
    180,816.14x = 25,015,888,497.31
  5. Step 5: Solve for x
    x = 25,015,888,497.31/180,816.14
  6. Step 6: Final answer
    x = 138,349.86

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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.