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Finding the Fourth Proportional to 158,970.60, 238,307.67 and 53,715.96

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Solution

The fourth proportional to 158,970.60, 238,307.67 and 53,715.96 is: 80,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,970.60 : 238,307.67 = 53,715.96 : x
  2. Step 2: Convert to fraction form
    158,970.60/238,307.67 = 53,715.96/x
  3. Step 3: Cross multiply
    158,970.60x = 238,307.67 × 53,715.96
  4. Step 4: Simplify right side
    158,970.60x = 12,800,925,269.41
  5. Step 5: Solve for x
    x = 12,800,925,269.41/158,970.60
  6. Step 6: Final answer
    x = 80,523.85

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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.