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Finding the Fourth Proportional to 159,225.83, 238,840.80 and 46,880.51

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Solution

The fourth proportional to 159,225.83, 238,840.80 and 46,880.51 is: 70,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,225.83 : 238,840.80 = 46,880.51 : x
  2. Step 2: Convert to fraction form
    159,225.83/238,840.80 = 46,880.51/x
  3. Step 3: Cross multiply
    159,225.83x = 238,840.80 × 46,880.51
  4. Step 4: Simplify right side
    159,225.83x = 11,196,977,318.60
  5. Step 5: Solve for x
    x = 11,196,977,318.60/159,225.83
  6. Step 6: Final answer
    x = 70,321.36

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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.