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Finding the Fourth Proportional to 153,753.20, 230,653.56 and 65,007.08

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Solution

The fourth proportional to 153,753.20, 230,653.56 and 65,007.08 is: 97,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,753.20 : 230,653.56 = 65,007.08 : x
  2. Step 2: Convert to fraction form
    153,753.20/230,653.56 = 65,007.08/x
  3. Step 3: Cross multiply
    153,753.20x = 230,653.56 × 65,007.08
  4. Step 4: Simplify right side
    153,753.20x = 14,994,114,427.20
  5. Step 5: Solve for x
    x = 14,994,114,427.20/153,753.20
  6. Step 6: Final answer
    x = 97,520.67

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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.