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Finding the Fourth Proportional to 105,032.64, 144,895.02 and 71,053.02

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Solution

The fourth proportional to 105,032.64, 144,895.02 and 71,053.02 is: 98,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032.64 : 144,895.02 = 71,053.02 : x
  2. Step 2: Convert to fraction form
    105,032.64/144,895.02 = 71,053.02/x
  3. Step 3: Cross multiply
    105,032.64x = 144,895.02 × 71,053.02
  4. Step 4: Simplify right side
    105,032.64x = 10,295,228,753.96
  5. Step 5: Solve for x
    x = 10,295,228,753.96/105,032.64
  6. Step 6: Final answer
    x = 98,019.33

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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.