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Finding the Fourth Proportional to 153,904.40, 230,489.40 and 74,764.40

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Solution

The fourth proportional to 153,904.40, 230,489.40 and 74,764.40 is: 111,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,904.40 : 230,489.40 = 74,764.40 : x
  2. Step 2: Convert to fraction form
    153,904.40/230,489.40 = 74,764.40/x
  3. Step 3: Cross multiply
    153,904.40x = 230,489.40 × 74,764.40
  4. Step 4: Simplify right side
    153,904.40x = 17,232,401,697.36
  5. Step 5: Solve for x
    x = 17,232,401,697.36/153,904.40
  6. Step 6: Final answer
    x = 111,968.22

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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.