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Finding the Fourth Proportional to 207,265.60, 310,941.60 and 118,446.40

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Solution

The fourth proportional to 207,265.60, 310,941.60 and 118,446.40 is: 177,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,265.60 : 310,941.60 = 118,446.40 : x
  2. Step 2: Convert to fraction form
    207,265.60/310,941.60 = 118,446.40/x
  3. Step 3: Cross multiply
    207,265.60x = 310,941.60 × 118,446.40
  4. Step 4: Simplify right side
    207,265.60x = 36,829,913,130.24
  5. Step 5: Solve for x
    x = 36,829,913,130.24/207,265.60
  6. Step 6: Final answer
    x = 177,694.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.