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Finding the Fourth Proportional to 153,973.80, 230,928.30 and 65,230.20

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Solution

The fourth proportional to 153,973.80, 230,928.30 and 65,230.20 is: 97,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,973.80 : 230,928.30 = 65,230.20 : x
  2. Step 2: Convert to fraction form
    153,973.80/230,928.30 = 65,230.20/x
  3. Step 3: Cross multiply
    153,973.80x = 230,928.30 × 65,230.20
  4. Step 4: Simplify right side
    153,973.80x = 15,063,499,194.66
  5. Step 5: Solve for x
    x = 15,063,499,194.66/153,973.80
  6. Step 6: Final answer
    x = 97,831.57

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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.