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Finding the Fourth Proportional to 102,991.74, 142,051.23 and 69,038.52

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Solution

The fourth proportional to 102,991.74, 142,051.23 and 69,038.52 is: 95,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.74 : 142,051.23 = 69,038.52 : x
  2. Step 2: Convert to fraction form
    102,991.74/142,051.23 = 69,038.52/x
  3. Step 3: Cross multiply
    102,991.74x = 142,051.23 × 69,038.52
  4. Step 4: Simplify right side
    102,991.74x = 9,807,006,683.38
  5. Step 5: Solve for x
    x = 9,807,006,683.38/102,991.74
  6. Step 6: Final answer
    x = 95,221.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.