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Finding the Fourth Proportional to 96,137.74, 144,005.46 and 77,316.04

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Solution

The fourth proportional to 96,137.74, 144,005.46 and 77,316.04 is: 115,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,137.74 : 144,005.46 = 77,316.04 : x
  2. Step 2: Convert to fraction form
    96,137.74/144,005.46 = 77,316.04/x
  3. Step 3: Cross multiply
    96,137.74x = 144,005.46 × 77,316.04
  4. Step 4: Simplify right side
    96,137.74x = 11,133,931,905.58
  5. Step 5: Solve for x
    x = 11,133,931,905.58/96,137.74
  6. Step 6: Final answer
    x = 115,812.29

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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.