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Finding the Fourth Proportional to 161,810.40, 242,715.60 and 105,823.20

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Solution

The fourth proportional to 161,810.40, 242,715.60 and 105,823.20 is: 158,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,810.40 : 242,715.60 = 105,823.20 : x
  2. Step 2: Convert to fraction form
    161,810.40/242,715.60 = 105,823.20/x
  3. Step 3: Cross multiply
    161,810.40x = 242,715.60 × 105,823.20
  4. Step 4: Simplify right side
    161,810.40x = 25,684,941,481.92
  5. Step 5: Solve for x
    x = 25,684,941,481.92/161,810.40
  6. Step 6: Final answer
    x = 158,734.80

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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.