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Finding the Fourth Proportional to 114,643.31, 171,804.74 and 97,687.77

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Solution

The fourth proportional to 114,643.31, 171,804.74 and 97,687.77 is: 146,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,643.31 : 171,804.74 = 97,687.77 : x
  2. Step 2: Convert to fraction form
    114,643.31/171,804.74 = 97,687.77/x
  3. Step 3: Cross multiply
    114,643.31x = 171,804.74 × 97,687.77
  4. Step 4: Simplify right side
    114,643.31x = 16,783,221,437.59
  5. Step 5: Solve for x
    x = 16,783,221,437.59/114,643.31
  6. Step 6: Final answer
    x = 146,395.13

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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.