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Finding the Fourth Proportional to 146,295.63, 219,421.02 and 46,442.88

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Solution

The fourth proportional to 146,295.63, 219,421.02 and 46,442.88 is: 69,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,295.63 : 219,421.02 = 46,442.88 : x
  2. Step 2: Convert to fraction form
    146,295.63/219,421.02 = 46,442.88/x
  3. Step 3: Cross multiply
    146,295.63x = 219,421.02 × 46,442.88
  4. Step 4: Simplify right side
    146,295.63x = 10,190,544,101.34
  5. Step 5: Solve for x
    x = 10,190,544,101.34/146,295.63
  6. Step 6: Final answer
    x = 69,657.20

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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.