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Finding the Fourth Proportional to 137,220.90, 205,428.15 and 102,315.30

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Solution

The fourth proportional to 137,220.90, 205,428.15 and 102,315.30 is: 153,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,220.90 : 205,428.15 = 102,315.30 : x
  2. Step 2: Convert to fraction form
    137,220.90/205,428.15 = 102,315.30/x
  3. Step 3: Cross multiply
    137,220.90x = 205,428.15 × 102,315.30
  4. Step 4: Simplify right side
    137,220.90x = 21,018,442,795.70
  5. Step 5: Solve for x
    x = 21,018,442,795.70/137,220.90
  6. Step 6: Final answer
    x = 153,172.31

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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.