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Finding the Fourth Proportional to 153,927.20, 230,977.20 and 65,165.60

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Solution

The fourth proportional to 153,927.20, 230,977.20 and 65,165.60 is: 97,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,927.20 : 230,977.20 = 65,165.60 : x
  2. Step 2: Convert to fraction form
    153,927.20/230,977.20 = 65,165.60/x
  3. Step 3: Cross multiply
    153,927.20x = 230,977.20 × 65,165.60
  4. Step 4: Simplify right side
    153,927.20x = 15,051,767,824.32
  5. Step 5: Solve for x
    x = 15,051,767,824.32/153,927.20
  6. Step 6: Final answer
    x = 97,784.98

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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.