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Finding the Fourth Proportional to 180,740.46, 249,430.25 and 100,168

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Solution

The fourth proportional to 180,740.46, 249,430.25 and 100,168 is: 138,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,740.46 : 249,430.25 = 100,168 : x
  2. Step 2: Convert to fraction form
    180,740.46/249,430.25 = 100,168/x
  3. Step 3: Cross multiply
    180,740.46x = 249,430.25 × 100,168
  4. Step 4: Simplify right side
    180,740.46x = 24,984,929,282
  5. Step 5: Solve for x
    x = 24,984,929,282/180,740.46
  6. Step 6: Final answer
    x = 138,236.50

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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.