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Finding the Fourth Proportional to 180,503.31, 249,098.10 and 99,928.56

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Solution

The fourth proportional to 180,503.31, 249,098.10 and 99,928.56 is: 137,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,503.31 : 249,098.10 = 99,928.56 : x
  2. Step 2: Convert to fraction form
    180,503.31/249,098.10 = 99,928.56/x
  3. Step 3: Cross multiply
    180,503.31x = 249,098.10 × 99,928.56
  4. Step 4: Simplify right side
    180,503.31x = 24,892,014,431.74
  5. Step 5: Solve for x
    x = 24,892,014,431.74/180,503.31
  6. Step 6: Final answer
    x = 137,903.37

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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.