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Finding the Fourth Proportional to 180,722.56, 249,407.12 and 100,148.40

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Solution

The fourth proportional to 180,722.56, 249,407.12 and 100,148.40 is: 138,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,722.56 : 249,407.12 = 100,148.40 : x
  2. Step 2: Convert to fraction form
    180,722.56/249,407.12 = 100,148.40/x
  3. Step 3: Cross multiply
    180,722.56x = 249,407.12 × 100,148.40
  4. Step 4: Simplify right side
    180,722.56x = 24,977,724,016.61
  5. Step 5: Solve for x
    x = 24,977,724,016.61/180,722.56
  6. Step 6: Final answer
    x = 138,210.33

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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.