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Finding the Fourth Proportional to 249,326, 374,008.48 and 83,114

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Solution

The fourth proportional to 249,326, 374,008.48 and 83,114 is: 124,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,326 : 374,008.48 = 83,114 : x
  2. Step 2: Convert to fraction form
    249,326/374,008.48 = 83,114/x
  3. Step 3: Cross multiply
    249,326x = 374,008.48 × 83,114
  4. Step 4: Simplify right side
    249,326x = 31,085,340,806.72
  5. Step 5: Solve for x
    x = 31,085,340,806.72/249,326
  6. Step 6: Final answer
    x = 124,677.49

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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.