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Finding the Fourth Proportional to 180,452.26, 249,021.01 and 99,878.01

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Solution

The fourth proportional to 180,452.26, 249,021.01 and 99,878.01 is: 137,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,452.26 : 249,021.01 = 99,878.01 : x
  2. Step 2: Convert to fraction form
    180,452.26/249,021.01 = 99,878.01/x
  3. Step 3: Cross multiply
    180,452.26x = 249,021.01 × 99,878.01
  4. Step 4: Simplify right side
    180,452.26x = 24,871,723,237.85
  5. Step 5: Solve for x
    x = 24,871,723,237.85/180,452.26
  6. Step 6: Final answer
    x = 137,829.94

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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.