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Finding the Fourth Proportional to 103,535.40, 142,706.77 and 73,281.90

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Solution

The fourth proportional to 103,535.40, 142,706.77 and 73,281.90 is: 101,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,535.40 : 142,706.77 = 73,281.90 : x
  2. Step 2: Convert to fraction form
    103,535.40/142,706.77 = 73,281.90/x
  3. Step 3: Cross multiply
    103,535.40x = 142,706.77 × 73,281.90
  4. Step 4: Simplify right side
    103,535.40x = 10,457,823,248.46
  5. Step 5: Solve for x
    x = 10,457,823,248.46/103,535.40
  6. Step 6: Final answer
    x = 101,007.22

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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.