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Finding the Fourth Proportional to 153,122.41, 229,730.23 and 78,295.11

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Solution

The fourth proportional to 153,122.41, 229,730.23 and 78,295.11 is: 117,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,122.41 : 229,730.23 = 78,295.11 : x
  2. Step 2: Convert to fraction form
    153,122.41/229,730.23 = 78,295.11/x
  3. Step 3: Cross multiply
    153,122.41x = 229,730.23 × 78,295.11
  4. Step 4: Simplify right side
    153,122.41x = 17,986,753,628.18
  5. Step 5: Solve for x
    x = 17,986,753,628.18/153,122.41
  6. Step 6: Final answer
    x = 117,466.50

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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.