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Finding the Fourth Proportional to 105,178.60, 157,674.12 and 38,603.28

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Solution

The fourth proportional to 105,178.60, 157,674.12 and 38,603.28 is: 57,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,178.60 : 157,674.12 = 38,603.28 : x
  2. Step 2: Convert to fraction form
    105,178.60/157,674.12 = 38,603.28/x
  3. Step 3: Cross multiply
    105,178.60x = 157,674.12 × 38,603.28
  4. Step 4: Simplify right side
    105,178.60x = 6,086,738,758.20
  5. Step 5: Solve for x
    x = 6,086,738,758.20/105,178.60
  6. Step 6: Final answer
    x = 57,870.50

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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.