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Finding the Fourth Proportional to 160,497.14, 240,739.95 and 60,653.30

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Solution

The fourth proportional to 160,497.14, 240,739.95 and 60,653.30 is: 90,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497.14 : 240,739.95 = 60,653.30 : x
  2. Step 2: Convert to fraction form
    160,497.14/240,739.95 = 60,653.30/x
  3. Step 3: Cross multiply
    160,497.14x = 240,739.95 × 60,653.30
  4. Step 4: Simplify right side
    160,497.14x = 14,601,672,409.34
  5. Step 5: Solve for x
    x = 14,601,672,409.34/160,497.14
  6. Step 6: Final answer
    x = 90,977.77

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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.