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Finding the Fourth Proportional to 180,496.88, 249,082.68 and 99,922.72

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Solution

The fourth proportional to 180,496.88, 249,082.68 and 99,922.72 is: 137,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,496.88 : 249,082.68 = 99,922.72 : x
  2. Step 2: Convert to fraction form
    180,496.88/249,082.68 = 99,922.72/x
  3. Step 3: Cross multiply
    180,496.88x = 249,082.68 × 99,922.72
  4. Step 4: Simplify right side
    180,496.88x = 24,889,018,890.49
  5. Step 5: Solve for x
    x = 24,889,018,890.49/180,496.88
  6. Step 6: Final answer
    x = 137,891.68

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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.