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Finding the Fourth Proportional to 249,635, 374,452.50 and 83,423

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Solution

The fourth proportional to 249,635, 374,452.50 and 83,423 is: 125,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,635 : 374,452.50 = 83,423 : x
  2. Step 2: Convert to fraction form
    249,635/374,452.50 = 83,423/x
  3. Step 3: Cross multiply
    249,635x = 374,452.50 × 83,423
  4. Step 4: Simplify right side
    249,635x = 31,237,950,907.50
  5. Step 5: Solve for x
    x = 31,237,950,907.50/249,635
  6. Step 6: Final answer
    x = 125,134.50

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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.