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Finding the Fourth Proportional to 249,443, 374,167.74 and 83,231

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Solution

The fourth proportional to 249,443, 374,167.74 and 83,231 is: 124,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,443 : 374,167.74 = 83,231 : x
  2. Step 2: Convert to fraction form
    249,443/374,167.74 = 83,231/x
  3. Step 3: Cross multiply
    249,443x = 374,167.74 × 83,231
  4. Step 4: Simplify right side
    249,443x = 31,142,355,167.94
  5. Step 5: Solve for x
    x = 31,142,355,167.94/249,443
  6. Step 6: Final answer
    x = 124,847.58

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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.