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Finding the Fourth Proportional to 161,957.34, 242,437.59 and 105,676.38

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Solution

The fourth proportional to 161,957.34, 242,437.59 and 105,676.38 is: 158,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,957.34 : 242,437.59 = 105,676.38 : x
  2. Step 2: Convert to fraction form
    161,957.34/242,437.59 = 105,676.38/x
  3. Step 3: Cross multiply
    161,957.34x = 242,437.59 × 105,676.38
  4. Step 4: Simplify right side
    161,957.34x = 25,619,926,887.12
  5. Step 5: Solve for x
    x = 25,619,926,887.12/161,957.34
  6. Step 6: Final answer
    x = 158,189.35

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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.