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Finding the Fourth Proportional to 180,643.56, 249,288.08 and 100,076.32

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Solution

The fourth proportional to 180,643.56, 249,288.08 and 100,076.32 is: 138,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,643.56 : 249,288.08 = 100,076.32 : x
  2. Step 2: Convert to fraction form
    180,643.56/249,288.08 = 100,076.32/x
  3. Step 3: Cross multiply
    180,643.56x = 249,288.08 × 100,076.32
  4. Step 4: Simplify right side
    180,643.56x = 24,947,833,666.27
  5. Step 5: Solve for x
    x = 24,947,833,666.27/180,643.56
  6. Step 6: Final answer
    x = 138,105.30

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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.