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Finding the Fourth Proportional to 180,452.60, 249,016.74 and 99,875.31

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Solution

The fourth proportional to 180,452.60, 249,016.74 and 99,875.31 is: 137,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,452.60 : 249,016.74 = 99,875.31 : x
  2. Step 2: Convert to fraction form
    180,452.60/249,016.74 = 99,875.31/x
  3. Step 3: Cross multiply
    180,452.60x = 249,016.74 × 99,875.31
  4. Step 4: Simplify right side
    180,452.60x = 24,870,624,102.69
  5. Step 5: Solve for x
    x = 24,870,624,102.69/180,452.60
  6. Step 6: Final answer
    x = 137,823.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.