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Finding the Fourth Proportional to 102,807.94, 153,785.42 and 96,509.38

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Solution

The fourth proportional to 102,807.94, 153,785.42 and 96,509.38 is: 144,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,807.94 : 153,785.42 = 96,509.38 : x
  2. Step 2: Convert to fraction form
    102,807.94/153,785.42 = 96,509.38/x
  3. Step 3: Cross multiply
    102,807.94x = 153,785.42 × 96,509.38
  4. Step 4: Simplify right side
    102,807.94x = 14,841,735,537.24
  5. Step 5: Solve for x
    x = 14,841,735,537.24/102,807.94
  6. Step 6: Final answer
    x = 144,363.71

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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.