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Finding the Fourth Proportional to 180,977.84, 249,750 and 100,406.96

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Solution

The fourth proportional to 180,977.84, 249,750 and 100,406.96 is: 138,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,977.84 : 249,750 = 100,406.96 : x
  2. Step 2: Convert to fraction form
    180,977.84/249,750 = 100,406.96/x
  3. Step 3: Cross multiply
    180,977.84x = 249,750 × 100,406.96
  4. Step 4: Simplify right side
    180,977.84x = 25,076,638,260
  5. Step 5: Solve for x
    x = 25,076,638,260/180,977.84
  6. Step 6: Final answer
    x = 138,561.93

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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.