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Finding the Fourth Proportional to 158,646.62, 237,970.74 and 53,466.50

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Solution

The fourth proportional to 158,646.62, 237,970.74 and 53,466.50 is: 80,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,646.62 : 237,970.74 = 53,466.50 : x
  2. Step 2: Convert to fraction form
    158,646.62/237,970.74 = 53,466.50/x
  3. Step 3: Cross multiply
    158,646.62x = 237,970.74 × 53,466.50
  4. Step 4: Simplify right side
    158,646.62x = 12,723,461,380.36
  5. Step 5: Solve for x
    x = 12,723,461,380.36/158,646.62
  6. Step 6: Final answer
    x = 80,200.02

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