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Finding the Fourth Proportional to 242,706.28, 334,946.04 and 135,277

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Solution

The fourth proportional to 242,706.28, 334,946.04 and 135,277 is: 186,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,706.28 : 334,946.04 = 135,277 : x
  2. Step 2: Convert to fraction form
    242,706.28/334,946.04 = 135,277/x
  3. Step 3: Cross multiply
    242,706.28x = 334,946.04 × 135,277
  4. Step 4: Simplify right side
    242,706.28x = 45,310,495,453.08
  5. Step 5: Solve for x
    x = 45,310,495,453.08/242,706.28
  6. Step 6: Final answer
    x = 186,688.60

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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.