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Finding the Fourth Proportional to 283,043.85, 424,551.93 and 105,537

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Solution

The fourth proportional to 283,043.85, 424,551.93 and 105,537 is: 158,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,043.85 : 424,551.93 = 105,537 : x
  2. Step 2: Convert to fraction form
    283,043.85/424,551.93 = 105,537/x
  3. Step 3: Cross multiply
    283,043.85x = 424,551.93 × 105,537
  4. Step 4: Simplify right side
    283,043.85x = 44,805,937,036.41
  5. Step 5: Solve for x
    x = 44,805,937,036.41/283,043.85
  6. Step 6: Final answer
    x = 158,300.34

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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.