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Finding the Fourth Proportional to 249,674.88, 374,434.56 and 83,424

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Solution

The fourth proportional to 249,674.88, 374,434.56 and 83,424 is: 125,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,674.88 : 374,434.56 = 83,424 : x
  2. Step 2: Convert to fraction form
    249,674.88/374,434.56 = 83,424/x
  3. Step 3: Cross multiply
    249,674.88x = 374,434.56 × 83,424
  4. Step 4: Simplify right side
    249,674.88x = 31,236,828,733.44
  5. Step 5: Solve for x
    x = 31,236,828,733.44/249,674.88
  6. Step 6: Final answer
    x = 125,110.02

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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.