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Finding the Fourth Proportional to 161,871.40, 242,807.10 and 136,210.60

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Solution

The fourth proportional to 161,871.40, 242,807.10 and 136,210.60 is: 204,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,871.40 : 242,807.10 = 136,210.60 : x
  2. Step 2: Convert to fraction form
    161,871.40/242,807.10 = 136,210.60/x
  3. Step 3: Cross multiply
    161,871.40x = 242,807.10 × 136,210.60
  4. Step 4: Simplify right side
    161,871.40x = 33,072,900,775.26
  5. Step 5: Solve for x
    x = 33,072,900,775.26/161,871.40
  6. Step 6: Final answer
    x = 204,315.90

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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.