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Finding the Fourth Proportional to 312,802.68, 469,156.50 and 102,435.96

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Solution

The fourth proportional to 312,802.68, 469,156.50 and 102,435.96 is: 153,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,802.68 : 469,156.50 = 102,435.96 : x
  2. Step 2: Convert to fraction form
    312,802.68/469,156.50 = 102,435.96/x
  3. Step 3: Cross multiply
    312,802.68x = 469,156.50 × 102,435.96
  4. Step 4: Simplify right side
    312,802.68x = 48,058,496,467.74
  5. Step 5: Solve for x
    x = 48,058,496,467.74/312,802.68
  6. Step 6: Final answer
    x = 153,638.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.