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Finding the Fourth Proportional to 153,295.29, 229,827.78 and 103,234.86

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Solution

The fourth proportional to 153,295.29, 229,827.78 and 103,234.86 is: 154,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,295.29 : 229,827.78 = 103,234.86 : x
  2. Step 2: Convert to fraction form
    153,295.29/229,827.78 = 103,234.86/x
  3. Step 3: Cross multiply
    153,295.29x = 229,827.78 × 103,234.86
  4. Step 4: Simplify right side
    153,295.29x = 23,726,238,692.41
  5. Step 5: Solve for x
    x = 23,726,238,692.41/153,295.29
  6. Step 6: Final answer
    x = 154,774.74

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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.