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Finding the Fourth Proportional to 180,783.77, 249,455.39 and 100,211.25

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Solution

The fourth proportional to 180,783.77, 249,455.39 and 100,211.25 is: 138,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,783.77 : 249,455.39 = 100,211.25 : x
  2. Step 2: Convert to fraction form
    180,783.77/249,455.39 = 100,211.25/x
  3. Step 3: Cross multiply
    180,783.77x = 249,455.39 × 100,211.25
  4. Step 4: Simplify right side
    180,783.77x = 24,998,235,950.08
  5. Step 5: Solve for x
    x = 24,998,235,950.08/180,783.77
  6. Step 6: Final answer
    x = 138,276.99

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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.