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Finding the Fourth Proportional to 290,106.28, 435,180.50 and 121,457

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Solution

The fourth proportional to 290,106.28, 435,180.50 and 121,457 is: 182,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,106.28 : 435,180.50 = 121,457 : x
  2. Step 2: Convert to fraction form
    290,106.28/435,180.50 = 121,457/x
  3. Step 3: Cross multiply
    290,106.28x = 435,180.50 × 121,457
  4. Step 4: Simplify right side
    290,106.28x = 52,855,717,988.50
  5. Step 5: Solve for x
    x = 52,855,717,988.50/290,106.28
  6. Step 6: Final answer
    x = 182,194.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.