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Finding the Fourth Proportional to 137,125.60, 205,688.40 and 48,378.40

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Solution

The fourth proportional to 137,125.60, 205,688.40 and 48,378.40 is: 72,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,125.60 : 205,688.40 = 48,378.40 : x
  2. Step 2: Convert to fraction form
    137,125.60/205,688.40 = 48,378.40/x
  3. Step 3: Cross multiply
    137,125.60x = 205,688.40 × 48,378.40
  4. Step 4: Simplify right side
    137,125.60x = 9,950,875,690.56
  5. Step 5: Solve for x
    x = 9,950,875,690.56/137,125.60
  6. Step 6: Final answer
    x = 72,567.60

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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.