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Finding the Fourth Proportional to 257,994.47, 386,842.71 and 100,038.39

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Solution

The fourth proportional to 257,994.47, 386,842.71 and 100,038.39 is: 149,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,994.47 : 386,842.71 = 100,038.39 : x
  2. Step 2: Convert to fraction form
    257,994.47/386,842.71 = 100,038.39/x
  3. Step 3: Cross multiply
    257,994.47x = 386,842.71 × 100,038.39
  4. Step 4: Simplify right side
    257,994.47x = 38,699,122,710.75
  5. Step 5: Solve for x
    x = 38,699,122,710.75/257,994.47
  6. Step 6: Final answer
    x = 149,999.82

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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.