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Finding the Fourth Proportional to 153,662.80, 230,525.24 and 64,916.56

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Solution

The fourth proportional to 153,662.80, 230,525.24 and 64,916.56 is: 97,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,662.80 : 230,525.24 = 64,916.56 : x
  2. Step 2: Convert to fraction form
    153,662.80/230,525.24 = 64,916.56/x
  3. Step 3: Cross multiply
    153,662.80x = 230,525.24 × 64,916.56
  4. Step 4: Simplify right side
    153,662.80x = 14,964,905,573.97
  5. Step 5: Solve for x
    x = 14,964,905,573.97/153,662.80
  6. Step 6: Final answer
    x = 97,387.95

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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.