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Finding the Fourth Proportional to 180,473.14, 249,049.90 and 99,898.94

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Solution

The fourth proportional to 180,473.14, 249,049.90 and 99,898.94 is: 137,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,473.14 : 249,049.90 = 99,898.94 : x
  2. Step 2: Convert to fraction form
    180,473.14/249,049.90 = 99,898.94/x
  3. Step 3: Cross multiply
    180,473.14x = 249,049.90 × 99,898.94
  4. Step 4: Simplify right side
    180,473.14x = 24,879,821,017.11
  5. Step 5: Solve for x
    x = 24,879,821,017.11/180,473.14
  6. Step 6: Final answer
    x = 137,858.86

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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.