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Finding the Fourth Proportional to 153,969.06, 230,907.69 and 65,221.14

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Solution

The fourth proportional to 153,969.06, 230,907.69 and 65,221.14 is: 97,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,969.06 : 230,907.69 = 65,221.14 : x
  2. Step 2: Convert to fraction form
    153,969.06/230,907.69 = 65,221.14/x
  3. Step 3: Cross multiply
    153,969.06x = 230,907.69 × 65,221.14
  4. Step 4: Simplify right side
    153,969.06x = 15,060,062,776.57
  5. Step 5: Solve for x
    x = 15,060,062,776.57/153,969.06
  6. Step 6: Final answer
    x = 97,812.27

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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.