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Finding the Fourth Proportional to 133,838.59, 201,007.49 and 117,833.80

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Solution

The fourth proportional to 133,838.59, 201,007.49 and 117,833.80 is: 176,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,838.59 : 201,007.49 = 117,833.80 : x
  2. Step 2: Convert to fraction form
    133,838.59/201,007.49 = 117,833.80/x
  3. Step 3: Cross multiply
    133,838.59x = 201,007.49 × 117,833.80
  4. Step 4: Simplify right side
    133,838.59x = 23,685,475,664.71
  5. Step 5: Solve for x
    x = 23,685,475,664.71/133,838.59
  6. Step 6: Final answer
    x = 176,970.46

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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.