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Finding the Fourth Proportional to 301,159.79, 451,781.37 and 101,537.25

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Solution

The fourth proportional to 301,159.79, 451,781.37 and 101,537.25 is: 152,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,159.79 : 451,781.37 = 101,537.25 : x
  2. Step 2: Convert to fraction form
    301,159.79/451,781.37 = 101,537.25/x
  3. Step 3: Cross multiply
    301,159.79x = 451,781.37 × 101,537.25
  4. Step 4: Simplify right side
    301,159.79x = 45,872,637,911.03
  5. Step 5: Solve for x
    x = 45,872,637,911.03/301,159.79
  6. Step 6: Final answer
    x = 152,319.93

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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.