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Finding the Fourth Proportional to 161,434.14, 222,779.08 and 89,814.14

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Solution

The fourth proportional to 161,434.14, 222,779.08 and 89,814.14 is: 123,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,434.14 : 222,779.08 = 89,814.14 : x
  2. Step 2: Convert to fraction form
    161,434.14/222,779.08 = 89,814.14/x
  3. Step 3: Cross multiply
    161,434.14x = 222,779.08 × 89,814.14
  4. Step 4: Simplify right side
    161,434.14x = 20,008,711,031.12
  5. Step 5: Solve for x
    x = 20,008,711,031.12/161,434.14
  6. Step 6: Final answer
    x = 123,943.50

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1.5x scale

Why These Related Problems?

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