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Finding the Fourth Proportional to 286,294.17, 429,307.94 and 106,254.20

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Solution

The fourth proportional to 286,294.17, 429,307.94 and 106,254.20 is: 159,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,294.17 : 429,307.94 = 106,254.20 : x
  2. Step 2: Convert to fraction form
    286,294.17/429,307.94 = 106,254.20/x
  3. Step 3: Cross multiply
    286,294.17x = 429,307.94 × 106,254.20
  4. Step 4: Simplify right side
    286,294.17x = 45,615,769,040.54
  5. Step 5: Solve for x
    x = 45,615,769,040.54/286,294.17
  6. Step 6: Final answer
    x = 159,331.81

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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.