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Finding the Fourth Proportional to 114,133.23, 171,059.63 and 64,108.17

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Solution

The fourth proportional to 114,133.23, 171,059.63 and 64,108.17 is: 96,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,133.23 : 171,059.63 = 64,108.17 : x
  2. Step 2: Convert to fraction form
    114,133.23/171,059.63 = 64,108.17/x
  3. Step 3: Cross multiply
    114,133.23x = 171,059.63 × 64,108.17
  4. Step 4: Simplify right side
    114,133.23x = 10,966,319,840.18
  5. Step 5: Solve for x
    x = 10,966,319,840.18/114,133.23
  6. Step 6: Final answer
    x = 96,083.50

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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.