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Finding the Fourth Proportional to 175,522.40, 242,222.10 and 107,539.50

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Solution

The fourth proportional to 175,522.40, 242,222.10 and 107,539.50 is: 148,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,522.40 : 242,222.10 = 107,539.50 : x
  2. Step 2: Convert to fraction form
    175,522.40/242,222.10 = 107,539.50/x
  3. Step 3: Cross multiply
    175,522.40x = 242,222.10 × 107,539.50
  4. Step 4: Simplify right side
    175,522.40x = 26,048,444,028.01
  5. Step 5: Solve for x
    x = 26,048,444,028.01/175,522.40
  6. Step 6: Final answer
    x = 148,405.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.