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Finding the Fourth Proportional to 156,952.40, 235,428.60 and 137,269.40

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Solution

The fourth proportional to 156,952.40, 235,428.60 and 137,269.40 is: 205,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952.40 : 235,428.60 = 137,269.40 : x
  2. Step 2: Convert to fraction form
    156,952.40/235,428.60 = 137,269.40/x
  3. Step 3: Cross multiply
    156,952.40x = 235,428.60 × 137,269.40
  4. Step 4: Simplify right side
    156,952.40x = 32,317,142,664.84
  5. Step 5: Solve for x
    x = 32,317,142,664.84/156,952.40
  6. Step 6: Final answer
    x = 205,904.10

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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.