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Finding the Fourth Proportional to 149,283, 223,925.31 and 38,475

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Solution

The fourth proportional to 149,283, 223,925.31 and 38,475 is: 57,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,283 : 223,925.31 = 38,475 : x
  2. Step 2: Convert to fraction form
    149,283/223,925.31 = 38,475/x
  3. Step 3: Cross multiply
    149,283x = 223,925.31 × 38,475
  4. Step 4: Simplify right side
    149,283x = 8,615,526,302.25
  5. Step 5: Solve for x
    x = 8,615,526,302.25/149,283
  6. Step 6: Final answer
    x = 57,712.71

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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.