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Finding the Fourth Proportional to 153,630.94, 230,446.42 and 48,458.11

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Solution

The fourth proportional to 153,630.94, 230,446.42 and 48,458.11 is: 72,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,630.94 : 230,446.42 = 48,458.11 : x
  2. Step 2: Convert to fraction form
    153,630.94/230,446.42 = 48,458.11/x
  3. Step 3: Cross multiply
    153,630.94x = 230,446.42 × 48,458.11
  4. Step 4: Simplify right side
    153,630.94x = 11,166,997,969.47
  5. Step 5: Solve for x
    x = 11,166,997,969.47/153,630.94
  6. Step 6: Final answer
    x = 72,687.17

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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.