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Finding the Fourth Proportional to 105,153.36, 157,706.28 and 30,273.36

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Solution

The fourth proportional to 105,153.36, 157,706.28 and 30,273.36 is: 45,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,153.36 : 157,706.28 = 30,273.36 : x
  2. Step 2: Convert to fraction form
    105,153.36/157,706.28 = 30,273.36/x
  3. Step 3: Cross multiply
    105,153.36x = 157,706.28 × 30,273.36
  4. Step 4: Simplify right side
    105,153.36x = 4,774,298,988.70
  5. Step 5: Solve for x
    x = 4,774,298,988.70/105,153.36
  6. Step 6: Final answer
    x = 45,403.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.